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180^\\circ",[574,1005,1007,1027,1152,1177,1254],{"className":1006,"ariaHidden":612},[611],[574,1008,1010,1013,1016,1020,1024],{"className":1009},[616],[574,1011],{"className":1012,"style":931},[620],[574,1014,958],{"className":1015},[625,742],[574,1017],{"className":1018,"style":1019},[980],"margin-right:0.2778em;",[574,1021,961],{"className":1022},[1023],"mrel",[574,1025],{"className":1026,"style":1019},[980],[574,1028,1030,1034,1142,1146,1149],{"className":1029},[616],[574,1031],{"className":1032,"style":1033},[620],"height:1.7936em;vertical-align:-0.686em;",[574,1035,1037,1042,1138],{"className":1036},[625],[574,1038],{"className":1039},[1040,1041],"mopen","nulldelimiter",[574,1043,1045],{"className":1044},[963],[574,1046,1049,1129],{"className":1047},[641,1048],"vlist-t2",[574,1050,1052,1124],{"className":1051},[645],[574,1053,1056,1100,1111],{"className":1054,"style":1055},[649],"height:1.1076em;",[574,1057,1059,1063],{"style":1058},"top:-2.314em;",[574,1060],{"className":1061,"style":1062},[656],"height:3em;",[574,1064,1066,1069],{"className":1065},[625],[574,1067,875],{"className":1068},[625],[574,1070,1072,1075],{"className":1071},[625],[574,1073,633],{"className":1074},[625],[574,1076,1078],{"className":1077},[637],[574,1079,1081],{"className":1080},[641],[574,1082,1084],{"className":1083},[645],[574,1085,1088],{"className":1086,"style":1087},[649],"height:0.6001em;",[574,1089,1091,1094],{"style":1090},"top:-2.989em;margin-right:0.05em;",[574,1092],{"className":1093,"style":657},[656],[574,1095,1097],{"className":1096},[661,662,663,664],[574,1098,602],{"className":1099},[668,664],[574,1101,1103,1106],{"style":1102},"top:-3.23em;",[574,1104],{"className":1105,"style":1062},[656],[574,1107],{"className":1108,"style":1110},[1109],"frac-line","border-bottom-width:0.04em;",[574,1112,1114,1117],{"style":1113},"top:-3.677em;",[574,1115],{"className":1116,"style":1062},[656],[574,1118,1120],{"className":1119},[625],[574,1121,967],{"className":1122,"style":1123},[625,742],"margin-right:0.0037em;",[574,1125,1128],{"className":1126},[1127],"vlist-s","​",[574,1130,1132],{"className":1131},[645],[574,1133,1136],{"className":1134,"style":1135},[649],"height:0.686em;",[574,1137],{},[574,1139],{"className":1140},[1141,1041],"mclose",[574,1143],{"className":1144,"style":1145},[980],"margin-right:0.2222em;",[574,1147,976],{"className":1148},[668],[574,1150],{"className":1151,"style":1145},[980],[574,1153,1155,1158,1161,1165,1168,1171,1174],{"className":1154},[616],[574,1156],{"className":1157,"style":931},[620],[574,1159,723],{"className":1160,"style":743},[625,742],[574,1162],{"className":1163,"style":1164},[980],"margin-right:2em;",[574,1166,967],{"className":1167,"style":1123},[625,742],[574,1169],{"className":1170,"style":1019},[980],[574,1172,961],{"className":1173},[1023],[574,1175],{"className":1176,"style":1019},[980],[574,1178,1180,1183,1245,1248,1251],{"className":1179},[616],[574,1181],{"className":1182,"style":1033},[620],[574,1184,1186,1189,1242],{"className":1185},[625],[574,1187],{"className":1188},[1040,1041],[574,1190,1192],{"className":1191},[963],[574,1193,1195,1234],{"className":1194},[641,1048],[574,1196,1198,1231],{"className":1197},[645],[574,1199,1201,1212,1220],{"className":1200,"style":1055},[649],[574,1202,1203,1206],{"style":1058},[574,1204],{"className":1205,"style":1062},[656],[574,1207,1209],{"className":1208},[625],[574,1210,723],{"className":1211,"style":743},[625,742],[574,1213,1214,1217],{"style":1102},[574,1215],{"className":1216,"style":1062},[656],[574,1218],{"className":1219,"style":1110},[1109],[574,1221,1222,1225],{"style":1113},[574,1223],{"className":1224,"style":1062},[656],[574,1226,1228],{"className":1227},[625],[574,1229,958],{"className":1230},[625,742],[574,1232,1128],{"className":1233},[1127],[574,1235,1237],{"className":1236},[645],[574,1238,1240],{"className":1239,"style":1135},[649],[574,1241],{},[574,1243],{"className":1244},[1141,1041],[574,1246],{"className":1247,"style":1145},[980],[574,1249,976],{"className":1250},[668],[574,1252],{"className":1253,"style":1145},[980],[574,1255,1257,1261,1264],{"className":1256},[616],[574,1258],{"className":1259,"style":1260},[620],"height:0.7241em;",[574,1262,875],{"className":1263},[625],[574,1265,1267,1270],{"className":1266},[625],[574,1268,633],{"className":1269},[625],[574,1271,1273],{"className":1272},[637],[574,1274,1276],{"className":1275},[641],[574,1277,1279],{"className":1278},[645],[574,1280,1282],{"className":1281,"style":1260},[649],[574,1283,1285,1288],{"style":1284},"top:-3.113em;margin-right:0.05em;",[574,1286],{"className":1287,"style":657},[656],[574,1289,1291],{"className":1290},[661,662,663,664],[574,1292,602],{"className":1293},[668,664],[565,1295,1296,1297,1300,1301,1329,1330,1374],{},"Das Bogenmaß braucht man vor allem bei Sinus- und Kosinusfunktionen und später in der Analysis. Die Einheit heißt ",[569,1298,1299],{},"Radiant"," (rad), wird aber meist weggelassen: ",[574,1302,1304,1317],{"className":1303},[577],[574,1305,1307],{"className":1306},[581],[583,1308,1309],{"xmlns":585},[587,1310,1311,1315],{},[590,1312,1313],{},[721,1314,958],{},[604,1316,958],{"encoding":606},[574,1318,1320],{"className":1319,"ariaHidden":612},[611],[574,1321,1323,1326],{"className":1322},[616],[574,1324],{"className":1325,"style":931},[620],[574,1327,958],{"className":1328},[625,742]," ist eine reine Zahl ohne Einheit. In der Analysis (z.B. bei ",[574,1331,1333,1353],{"className":1332},[577],[574,1334,1336],{"className":1335},[581],[583,1337,1338],{"xmlns":585},[587,1339,1340,1350],{},[590,1341,1342,1345,1348],{},[721,1343,1344],{},"sin",[600,1346,1347],{},"⁡",[721,1349,958],{},[604,1351,1352],{"encoding":606},"\\sin x",[574,1354,1356],{"className":1355,"ariaHidden":612},[611],[574,1357,1359,1363,1367,1371],{"className":1358},[616],[574,1360],{"className":1361,"style":1362},[620],"height:0.6679em;",[574,1364,1344],{"className":1365},[1366],"mop",[574,1368],{"className":1369,"style":1370},[980],"margin-right:0.1667em;",[574,1372,958],{"className":1373},[625,742],") ist ohne Gradzeichen meist das Bogenmaß gemeint.",[560,1376,1378],{"id":1377},"beispiele","Beispiele",[574,1380,1382],{"className":1381},[942],[574,1383,1385,1439],{"className":1384},[577],[574,1386,1388],{"className":1387},[581],[583,1389,1390],{"xmlns":585,"display":951},[587,1391,1392,1436],{},[590,1393,1394,1401,1403,1417,1419,1421,1423,1430,1433],{},[593,1395,1396,1399],{},[596,1397,1398],{},"30",[600,1400,602],{},[600,1402,961],{},[963,1404,1405,1411],{},[593,1406,1407,1409],{},[596,1408,1398],{},[600,1410,602],{},[593,1412,1413,1415],{},[596,1414,857],{},[600,1416,602],{},[600,1418,976],{},[721,1420,723],{},[600,1422,961],{},[963,1424,1425,1427],{},[721,1426,723],{},[596,1428,1429],{},"6",[600,1431,1432],{},"≈",[596,1434,1435],{},"0,524",[604,1437,1438],{"encoding":606},"30^\\circ = \\frac{30^\\circ}{180^\\circ} \\cdot \\pi = \\frac{\\pi}{6} \\approx 0{,}524",[574,1440,1442,1490,1627,1645,1722],{"className":1441,"ariaHidden":612},[611],[574,1443,1445,1448,1452,1481,1484,1487],{"className":1444},[616],[574,1446],{"className":1447,"style":1260},[620],[574,1449,1451],{"className":1450},[625],"3",[574,1453,1455,1458],{"className":1454},[625],[574,1456,633],{"className":1457},[625],[574,1459,1461],{"className":1460},[637],[574,1462,1464],{"className":1463},[641],[574,1465,1467],{"className":1466},[645],[574,1468,1470],{"className":1469,"style":1260},[649],[574,1471,1472,1475],{"style":1284},[574,1473],{"className":1474,"style":657},[656],[574,1476,1478],{"className":1477},[661,662,663,664],[574,1479,602],{"className":1480},[668,664],[574,1482],{"className":1483,"style":1019},[980],[574,1485,961],{"className":1486},[1023],[574,1488],{"className":1489,"style":1019},[980],[574,1491,1493,1497,1618,1621,1624],{"className":1492},[616],[574,1494],{"className":1495,"style":1496},[620],"height:2.0371em;vertical-align:-0.686em;",[574,1498,1500,1503,1615],{"className":1499},[625],[574,1501],{"className":1502},[1040,1041],[574,1504,1506],{"className":1505},[963],[574,1507,1509,1607],{"className":1508},[641,1048],[574,1510,1512,1604],{"className":1511},[645],[574,1513,1516,1556,1564],{"className":1514,"style":1515},[649],"height:1.3511em;",[574,1517,1518,1521],{"style":1058},[574,1519],{"className":1520,"style":1062},[656],[574,1522,1524,1527],{"className":1523},[625],[574,1525,875],{"className":1526},[625],[574,1528,1530,1533],{"className":1529},[625],[574,1531,633],{"className":1532},[625],[574,1534,1536],{"className":1535},[637],[574,1537,1539],{"className":1538},[641],[574,1540,1542],{"className":1541},[645],[574,1543,1545],{"className":1544,"style":1087},[649],[574,1546,1547,1550],{"style":1090},[574,1548],{"className":1549,"style":657},[656],[574,1551,1553],{"className":1552},[661,662,663,664],[574,1554,602],{"className":1555},[668,664],[574,1557,1558,1561],{"style":1102},[574,1559],{"className":1560,"style":1062},[656],[574,1562],{"className":1563,"style":1110},[1109],[574,1565,1566,1569],{"style":1113},[574,1567],{"className":1568,"style":1062},[656],[574,1570,1572,1575],{"className":1571},[625],[574,1573,1451],{"className":1574},[625],[574,1576,1578,1581],{"className":1577},[625],[574,1579,633],{"className":1580},[625],[574,1582,1584],{"className":1583},[637],[574,1585,1587],{"className":1586},[641],[574,1588,1590],{"className":1589},[645],[574,1591,1593],{"className":1592,"style":621},[649],[574,1594,1595,1598],{"style":652},[574,1596],{"className":1597,"style":657},[656],[574,1599,1601],{"className":1600},[661,662,663,664],[574,1602,602],{"className":1603},[668,664],[574,1605,1128],{"className":1606},[1127],[574,1608,1610],{"className":1609},[645],[574,1611,1613],{"className":1612,"style":1135},[649],[574,1614],{},[574,1616],{"className":1617},[1141,1041],[574,1619],{"className":1620,"style":1145},[980],[574,1622,976],{"className":1623},[668],[574,1625],{"className":1626,"style":1145},[980],[574,1628,1630,1633,1636,1639,1642],{"className":1629},[616],[574,1631],{"className":1632,"style":931},[620],[574,1634,723],{"className":1635,"style":743},[625,742],[574,1637],{"className":1638,"style":1019},[980],[574,1640,961],{"className":1641},[1023],[574,1643],{"className":1644,"style":1019},[980],[574,1646,1648,1651,1713,1716,1719],{"className":1647},[616],[574,1649],{"className":1650,"style":1033},[620],[574,1652,1654,1657,1710],{"className":1653},[625],[574,1655],{"className":1656},[1040,1041],[574,1658,1660],{"className":1659},[963],[574,1661,1663,1702],{"className":1662},[641,1048],[574,1664,1666,1699],{"className":1665},[645],[574,1667,1669,1680,1688],{"className":1668,"style":1055},[649],[574,1670,1671,1674],{"style":1058},[574,1672],{"className":1673,"style":1062},[656],[574,1675,1677],{"className":1676},[625],[574,1678,1429],{"className":1679},[625],[574,1681,1682,1685],{"style":1102},[574,1683],{"className":1684,"style":1062},[656],[574,1686],{"className":1687,"style":1110},[1109],[574,1689,1690,1693],{"style":1113},[574,1691],{"className":1692,"style":1062},[656],[574,1694,1696],{"className":1695},[625],[574,1697,723],{"className":1698,"style":743},[625,742],[574,1700,1128],{"className":1701},[1127],[574,1703,1705],{"className":1704},[645],[574,1706,1708],{"className":1707,"style":1135},[649],[574,1709],{},[574,1711],{"className":1712},[1141,1041],[574,1714],{"className":1715,"style":1019},[980],[574,1717,1432],{"className":1718},[1023],[574,1720],{"className":1721,"style":1019},[980],[574,1723,1725,1729,1732,1740],{"className":1724},[616],[574,1726],{"className":1727,"style":1728},[620],"height:0.8389em;vertical-align:-0.1944em;",[574,1730,633],{"className":1731},[625],[574,1733,1735],{"className":1734},[625],[574,1736,1739],{"className":1737},[1738],"mpunct",",",[574,1741,1743],{"className":1742},[625],"524",[574,1745,1747],{"className":1746},[942],[574,1748,1750,1791],{"className":1749},[577],[574,1751,1753],{"className":1752},[581],[583,1754,1755],{"xmlns":585,"display":951},[587,1756,1757,1788],{},[590,1758,1759,1766,1768,1774,1776,1782,1784,1786],{},[593,1760,1761,1764],{},[596,1762,1763],{},"90",[600,1765,602],{},[600,1767,961],{},[963,1769,1770,1772],{},[721,1771,723],{},[596,1773,719],{},[980,1775],{"width":982},[593,1777,1778,1780],{},[596,1779,598],{},[600,1781,602],{},[600,1783,961],{},[596,1785,719],{},[721,1787,723],{},[604,1789,1790],{"encoding":606},"90^\\circ = \\frac{\\pi}{2} \\qquad 360^\\circ = 2\\pi",[574,1792,1794,1842,1954],{"className":1793,"ariaHidden":612},[611],[574,1795,1797,1800,1804,1833,1836,1839],{"className":1796},[616],[574,1798],{"className":1799,"style":1260},[620],[574,1801,1803],{"className":1802},[625],"9",[574,1805,1807,1810],{"className":1806},[625],[574,1808,633],{"className":1809},[625],[574,1811,1813],{"className":1812},[637],[574,1814,1816],{"className":1815},[641],[574,1817,1819],{"className":1818},[645],[574,1820,1822],{"className":1821,"style":1260},[649],[574,1823,1824,1827],{"style":1284},[574,1825],{"className":1826,"style":657},[656],[574,1828,1830],{"className":1829},[661,662,663,664],[574,1831,602],{"className":1832},[668,664],[574,1834],{"className":1835,"style":1019},[980],[574,1837,961],{"className":1838},[1023],[574,1840],{"className":1841,"style":1019},[980],[574,1843,1845,1848,1910,1913,1916,1945,1948,1951],{"className":1844},[616],[574,1846],{"className":1847,"style":1033},[620],[574,1849,1851,1854,1907],{"className":1850},[625],[574,1852],{"className":1853},[1040,1041],[574,1855,1857],{"className":1856},[963],[574,1858,1860,1899],{"className":1859},[641,1048],[574,1861,1863,1896],{"className":1862},[645],[574,1864,1866,1877,1885],{"className":1865,"style":1055},[649],[574,1867,1868,1871],{"style":1058},[574,1869],{"className":1870,"style":1062},[656],[574,1872,1874],{"className":1873},[625],[574,1875,719],{"className":1876},[625],[574,1878,1879,1882],{"style":1102},[574,1880],{"className":1881,"style":1062},[656],[574,1883],{"className":1884,"style":1110},[1109],[574,1886,1887,1890],{"style":1113},[574,1888],{"className":1889,"style":1062},[656],[574,1891,1893],{"className":1892},[625],[574,1894,723],{"className":1895,"style":743},[625,742],[574,1897,1128],{"className":1898},[1127],[574,1900,1902],{"className":1901},[645],[574,1903,1905],{"className":1904,"style":1135},[649],[574,1906],{},[574,1908],{"className":1909},[1141,1041],[574,1911],{"className":1912,"style":1164},[980],[574,1914,626],{"className":1915},[625],[574,1917,1919,1922],{"className":1918},[625],[574,1920,633],{"className":1921},[625],[574,1923,1925],{"className":1924},[637],[574,1926,1928],{"className":1927},[641],[574,1929,1931],{"className":1930},[645],[574,1932,1934],{"className":1933,"style":1260},[649],[574,1935,1936,1939],{"style":1284},[574,1937],{"className":1938,"style":657},[656],[574,1940,1942],{"className":1941},[661,662,663,664],[574,1943,602],{"className":1944},[668,664],[574,1946],{"className":1947,"style":1019},[980],[574,1949,961],{"className":1950},[1023],[574,1952],{"className":1953,"style":1019},[980],[574,1955,1957,1960,1963],{"className":1956},[616],[574,1958],{"className":1959,"style":700},[620],[574,1961,719],{"className":1962},[625],[574,1964,723],{"className":1965,"style":743},[625,742],[565,1967,1968,1969,1997,1998,2038],{},"Rückrechnung von ",[574,1970,1972,1985],{"className":1971},[577],[574,1973,1975],{"className":1974},[581],[583,1976,1977],{"xmlns":585},[587,1978,1979,1983],{},[590,1980,1981],{},[596,1982,688],{},[604,1984,688],{"encoding":606},[574,1986,1988],{"className":1987,"ariaHidden":612},[611],[574,1989,1991,1994],{"className":1990},[616],[574,1992],{"className":1993,"style":700},[620],[574,1995,688],{"className":1996},[625]," und von ",[574,1999,2001,2016],{"className":2000},[577],[574,2002,2004],{"className":2003},[581],[583,2005,2006],{"xmlns":585},[587,2007,2008,2013],{},[590,2009,2010],{},[596,2011,2012],{},"2,5",[604,2014,2015],{"encoding":606},"2{,}5",[574,2017,2019],{"className":2018,"ariaHidden":612},[611],[574,2020,2022,2025,2028,2034],{"className":2021},[616],[574,2023],{"className":2024,"style":1728},[620],[574,2026,719],{"className":2027},[625],[574,2029,2031],{"className":2030},[625],[574,2032,1739],{"className":2033},[1738],[574,2035,2037],{"className":2036},[625],"5"," ins Gradmaß:",[574,2040,2042],{"className":2041},[942],[574,2043,2045,2113],{"className":2044},[577],[574,2046,2048],{"className":2047},[581],[583,2049,2050],{"xmlns":585,"display":951},[587,2051,2052,2110],{},[590,2053,2054,2056,2058,2064,2066,2072,2074,2081,2083,2085,2087,2093,2095,2101,2103],{},[596,2055,688],{},[600,2057,961],{},[963,2059,2060,2062],{},[596,2061,688],{},[721,2063,723],{},[600,2065,976],{},[593,2067,2068,2070],{},[596,2069,857],{},[600,2071,602],{},[600,2073,1432],{},[593,2075,2076,2079],{},[596,2077,2078],{},"57,30",[600,2080,602],{},[980,2082],{"width":982},[596,2084,2012],{},[600,2086,961],{},[963,2088,2089,2091],{},[596,2090,2012],{},[721,2092,723],{},[600,2094,976],{},[593,2096,2097,2099],{},[596,2098,857],{},[600,2100,602],{},[600,2102,1432],{},[593,2104,2105,2108],{},[596,2106,2107],{},"143,24",[600,2109,602],{},[604,2111,2112],{"encoding":606},"1 = \\frac{1}{\\pi} \\cdot 180^\\circ \\approx 57{,}30^\\circ\n\\qquad\n2{,}5 = \\frac{2{,}5}{\\pi} \\cdot 180^\\circ \\approx 143{,}24^\\circ",[574,2114,2116,2134,2213,2260,2333,2419,2466],{"className":2115,"ariaHidden":612},[611],[574,2117,2119,2122,2125,2128,2131],{"className":2118},[616],[574,2120],{"className":2121,"style":700},[620],[574,2123,688],{"className":2124},[625],[574,2126],{"className":2127,"style":1019},[980],[574,2129,961],{"className":2130},[1023],[574,2132],{"className":2133,"style":1019},[980],[574,2135,2137,2141,2204,2207,2210],{"className":2136},[616],[574,2138],{"className":2139,"style":2140},[620],"height:2.0074em;vertical-align:-0.686em;",[574,2142,2144,2147,2201],{"className":2143},[625],[574,2145],{"className":2146},[1040,1041],[574,2148,2150],{"className":2149},[963],[574,2151,2153,2193],{"className":2152},[641,1048],[574,2154,2156,2190],{"className":2155},[645],[574,2157,2160,2171,2179],{"className":2158,"style":2159},[649],"height:1.3214em;",[574,2161,2162,2165],{"style":1058},[574,2163],{"className":2164,"style":1062},[656],[574,2166,2168],{"className":2167},[625],[574,2169,723],{"className":2170,"style":743},[625,742],[574,2172,2173,2176],{"style":1102},[574,2174],{"className":2175,"style":1062},[656],[574,2177],{"className":2178,"style":1110},[1109],[574,2180,2181,2184],{"style":1113},[574,2182],{"className":2183,"style":1062},[656],[574,2185,2187],{"className":2186},[625],[574,2188,688],{"className":2189},[625],[574,2191,1128],{"className":2192},[1127],[574,2194,2196],{"className":2195},[645],[574,2197,2199],{"className":2198,"style":1135},[649],[574,2200],{},[574,2202],{"className":2203},[1141,1041],[574,2205],{"className":2206,"style":1145},[980],[574,2208,976],{"className":2209},[668],[574,2211],{"className":2212,"style":1145},[980],[574,2214,2216,2219,2222,2251,2254,2257],{"className":2215},[616],[574,2217],{"className":2218,"style":1260},[620],[574,2220,875],{"className":2221},[625],[574,2223,2225,2228],{"className":2224},[625],[574,2226,633],{"className":2227},[625],[574,2229,2231],{"className":2230},[637],[574,2232,2234],{"className":2233},[641],[574,2235,2237],{"className":2236},[645],[574,2238,2240],{"className":2239,"style":1260},[649],[574,2241,2242,2245],{"style":1284},[574,2243],{"className":2244,"style":657},[656],[574,2246,2248],{"className":2247},[661,662,663,664],[574,2249,602],{"className":2250},[668,664],[574,2252],{"className":2253,"style":1019},[980],[574,2255,1432],{"className":2256},[1023],[574,2258],{"className":2259,"style":1019},[980],[574,2261,2263,2267,2271,2277,2280,2309,2312,2315,2321,2324,2327,2330],{"className":2262},[616],[574,2264],{"className":2265,"style":2266},[620],"height:0.9186em;vertical-align:-0.1944em;",[574,2268,2270],{"className":2269},[625],"57",[574,2272,2274],{"className":2273},[625],[574,2275,1739],{"className":2276},[1738],[574,2278,1451],{"className":2279},[625],[574,2281,2283,2286],{"className":2282},[625],[574,2284,633],{"className":2285},[625],[574,2287,2289],{"className":2288},[637],[574,2290,2292],{"className":2291},[641],[574,2293,2295],{"className":2294},[645],[574,2296,2298],{"className":2297,"style":1260},[649],[574,2299,2300,2303],{"style":1284},[574,2301],{"className":2302,"style":657},[656],[574,2304,2306],{"className":2305},[661,662,663,664],[574,2307,602],{"className":2308},[668,664],[574,2310],{"className":2311,"style":1164},[980],[574,2313,719],{"className":2314},[625],[574,2316,2318],{"className":2317},[625],[574,2319,1739],{"className":2320},[1738],[574,2322,2037],{"className":2323},[625],[574,2325],{"className":2326,"style":1019},[980],[574,2328,961],{"className":2329},[1023],[574,2331],{"className":2332,"style":1019},[980],[574,2334,2336,2339,2410,2413,2416],{"className":2335},[616],[574,2337],{"className":2338,"style":2140},[620],[574,2340,2342,2345,2407],{"className":2341},[625],[574,2343],{"className":2344},[1040,1041],[574,2346,2348],{"className":2347},[963],[574,2349,2351,2399],{"className":2350},[641,1048],[574,2352,2354,2396],{"className":2353},[645],[574,2355,2357,2368,2376],{"className":2356,"style":2159},[649],[574,2358,2359,2362],{"style":1058},[574,2360],{"className":2361,"style":1062},[656],[574,2363,2365],{"className":2364},[625],[574,2366,723],{"className":2367,"style":743},[625,742],[574,2369,2370,2373],{"style":1102},[574,2371],{"className":2372,"style":1062},[656],[574,2374],{"className":2375,"style":1110},[1109],[574,2377,2378,2381],{"style":1113},[574,2379],{"className":2380,"style":1062},[656],[574,2382,2384,2387,2393],{"className":2383},[625],[574,2385,719],{"className":2386},[625],[574,2388,2390],{"className":2389},[625],[574,2391,1739],{"className":2392},[1738],[574,2394,2037],{"className":2395},[625],[574,2397,1128],{"className":2398},[1127],[574,2400,2402],{"className":2401},[645],[574,2403,2405],{"className":2404,"style":1135},[649],[574,2406],{},[574,2408],{"className":2409},[1141,1041],[574,2411],{"className":2412,"style":1145},[980],[574,2414,976],{"className":2415},[668],[574,2417],{"className":2418,"style":1145},[980],[574,2420,2422,2425,2428,2457,2460,2463],{"className":2421},[616],[574,2423],{"className":2424,"style":1260},[620],[574,2426,875],{"className":2427},[625],[574,2429,2431,2434],{"className":2430},[625],[574,2432,633],{"className":2433},[625],[574,2435,2437],{"className":2436},[637],[574,2438,2440],{"className":2439},[641],[574,2441,2443],{"className":2442},[645],[574,2444,2446],{"className":2445,"style":1260},[649],[574,2447,2448,2451],{"style":1284},[574,2449],{"className":2450,"style":657},[656],[574,2452,2454],{"className":2453},[661,662,663,664],[574,2455,602],{"className":2456},[668,664],[574,2458],{"className":2459,"style":1019},[980],[574,2461,1432],{"className":2462},[1023],[574,2464],{"className":2465,"style":1019},[980],[574,2467,2469,2472,2476,2482,2485],{"className":2468},[616],[574,2470],{"className":2471,"style":2266},[620],[574,2473,2475],{"className":2474},[625],"143",[574,2477,2479],{"className":2478},[625],[574,2480,1739],{"className":2481},[1738],[574,2483,719],{"className":2484},[625],[574,2486,2488,2492],{"className":2487},[625],[574,2489,2491],{"className":2490},[625],"4",[574,2493,2495],{"className":2494},[637],[574,2496,2498],{"className":2497},[641],[574,2499,2501],{"className":2500},[645],[574,2502,2504],{"className":2503,"style":1260},[649],[574,2505,2506,2509],{"style":1284},[574,2507],{"className":2508,"style":657},[656],[574,2510,2512],{"className":2511},[661,662,663,664],[574,2513,602],{"className":2514},[668,664],[560,2516,2518],{"id":2517},"typische-fehler","Typische Fehler",[2520,2521,2522,2777,3141],"ul",{},[2523,2524,2525,2526,2530,2531,2609,2610,2638,2639,2667,2668,2772,2773,2776],"li",{},"Den Taschenrechner im falschen Modus benutzen: Im Bogenmaß (",[2527,2528,2529],"code",{},"RAD",") liefert ",[574,2532,2534,2560],{"className":2533},[577],[574,2535,2537],{"className":2536},[581],[583,2538,2539],{"xmlns":585},[587,2540,2541,2557],{},[590,2542,2543,2545,2547,2549,2551,2554],{},[721,2544,1344],{},[600,2546,1347],{},[596,2548,1398],{},[600,2550,1432],{},[600,2552,2553],{},"−",[596,2555,2556],{},"0,99",[604,2558,2559],{"encoding":606},"\\sin 30 \\approx -0{,}99",[574,2561,2563,2587],{"className":2562,"ariaHidden":612},[611],[574,2564,2566,2569,2572,2575,2578,2581,2584],{"className":2565},[616],[574,2567],{"className":2568,"style":1362},[620],[574,2570,1344],{"className":2571},[1366],[574,2573],{"className":2574,"style":1370},[980],[574,2576,1398],{"className":2577},[625],[574,2579],{"className":2580,"style":1019},[980],[574,2582,1432],{"className":2583},[1023],[574,2585],{"className":2586,"style":1019},[980],[574,2588,2590,2593,2596,2599,2605],{"className":2589},[616],[574,2591],{"className":2592,"style":1728},[620],[574,2594,2553],{"className":2595},[625],[574,2597,633],{"className":2598},[625],[574,2600,2602],{"className":2601},[625],[574,2603,1739],{"className":2604},[1738],[574,2606,2608],{"className":2607},[625],"99",", weil ",[574,2611,2613,2626],{"className":2612},[577],[574,2614,2616],{"className":2615},[581],[583,2617,2618],{"xmlns":585},[587,2619,2620,2624],{},[590,2621,2622],{},[596,2623,1398],{},[604,2625,1398],{"encoding":606},[574,2627,2629],{"className":2628,"ariaHidden":612},[611],[574,2630,2632,2635],{"className":2631},[616],[574,2633],{"className":2634,"style":700},[620],[574,2636,1398],{"className":2637},[625]," als ",[574,2640,2642,2655],{"className":2641},[577],[574,2643,2645],{"className":2644},[581],[583,2646,2647],{"xmlns":585},[587,2648,2649,2653],{},[590,2650,2651],{},[596,2652,1398],{},[604,2654,1398],{"encoding":606},[574,2656,2658],{"className":2657,"ariaHidden":612},[611],[574,2659,2661,2664],{"className":2660},[616],[574,2662],{"className":2663,"style":700},[620],[574,2665,1398],{"className":2666},[625]," rad gelesen wird. Für ",[574,2669,2671,2698],{"className":2670},[577],[574,2672,2674],{"className":2673},[581],[583,2675,2676],{"xmlns":585},[587,2677,2678,2695],{},[590,2679,2680,2682,2684,2690,2692],{},[721,2681,1344],{},[600,2683,1347],{},[593,2685,2686,2688],{},[596,2687,1398],{},[600,2689,602],{},[600,2691,961],{},[596,2693,2694],{},"0,5",[604,2696,2697],{"encoding":606},"\\sin 30^\\circ = 0{,}5",[574,2699,2701,2754],{"className":2700,"ariaHidden":612},[611],[574,2702,2704,2707,2710,2713,2716,2745,2748,2751],{"className":2703},[616],[574,2705],{"className":2706,"style":621},[620],[574,2708,1344],{"className":2709},[1366],[574,2711],{"className":2712,"style":1370},[980],[574,2714,1451],{"className":2715},[625],[574,2717,2719,2722],{"className":2718},[625],[574,2720,633],{"className":2721},[625],[574,2723,2725],{"className":2724},[637],[574,2726,2728],{"className":2727},[641],[574,2729,2731],{"className":2730},[645],[574,2732,2734],{"className":2733,"style":621},[649],[574,2735,2736,2739],{"style":652},[574,2737],{"className":2738,"style":657},[656],[574,2740,2742],{"className":2741},[661,662,663,664],[574,2743,602],{"className":2744},[668,664],[574,2746],{"className":2747,"style":1019},[980],[574,2749,961],{"className":2750},[1023],[574,2752],{"className":2753,"style":1019},[980],[574,2755,2757,2760,2763,2769],{"className":2756},[616],[574,2758],{"className":2759,"style":1728},[620],[574,2761,633],{"className":2762},[625],[574,2764,2766],{"className":2765},[625],[574,2767,1739],{"className":2768},[1738],[574,2770,2037],{"className":2771},[625]," muss der Rechner auf ",[2527,2774,2775],{},"DEG"," stehen.",[2523,2778,2779,2780,2943,2944,3006,3007,3107,3108,935],{},"Den Bruch umdrehen und ",[574,2781,2783,2809],{"className":2782},[577],[574,2784,2786],{"className":2785},[581],[583,2787,2788],{"xmlns":585},[587,2789,2790,2806],{},[590,2791,2792,2802,2804],{},[963,2793,2794,2800],{},[593,2795,2796,2798],{},[596,2797,857],{},[600,2799,602],{},[721,2801,967],{},[600,2803,976],{},[721,2805,723],{},[604,2807,2808],{"encoding":606},"\\frac{180^\\circ}{\\alpha} \\cdot \\pi",[574,2810,2812,2934],{"className":2811,"ariaHidden":612},[611],[574,2813,2815,2819,2925,2928,2931],{"className":2814},[616],[574,2816],{"className":2817,"style":2818},[620],"height:1.2629em;vertical-align:-0.345em;",[574,2820,2822,2825,2922],{"className":2821},[625],[574,2823],{"className":2824},[1040,1041],[574,2826,2828],{"className":2827},[963],[574,2829,2831,2913],{"className":2830},[641,1048],[574,2832,2834,2910],{"className":2833},[645],[574,2835,2838,2853,2861],{"className":2836,"style":2837},[649],"height:0.9179em;",[574,2839,2841,2844],{"style":2840},"top:-2.655em;",[574,2842],{"className":2843,"style":1062},[656],[574,2845,2847],{"className":2846},[661,662,663,664],[574,2848,2850],{"className":2849},[625,664],[574,2851,967],{"className":2852,"style":1123},[625,742,664],[574,2854,2855,2858],{"style":1102},[574,2856],{"className":2857,"style":1062},[656],[574,2859],{"className":2860,"style":1110},[1109],[574,2862,2864,2867],{"style":2863},"top:-3.394em;",[574,2865],{"className":2866,"style":1062},[656],[574,2868,2870],{"className":2869},[661,662,663,664],[574,2871,2873,2876],{"className":2872},[625,664],[574,2874,875],{"className":2875},[625,664],[574,2877,2879,2882],{"className":2878},[625,664],[574,2880,633],{"className":2881},[625,664],[574,2883,2885],{"className":2884},[637],[574,2886,2888],{"className":2887},[641],[574,2889,2891],{"className":2890},[645],[574,2892,2895],{"className":2893,"style":2894},[649],"height:0.7485em;",[574,2896,2898,2902],{"style":2897},"top:-2.931em;margin-right:0.0714em;",[574,2899],{"className":2900,"style":2901},[656],"height:2.5em;",[574,2903,2907],{"className":2904},[661,2905,2906,664],"reset-size3","size1",[574,2908,602],{"className":2909},[668,664],[574,2911,1128],{"className":2912},[1127],[574,2914,2916],{"className":2915},[645],[574,2917,2920],{"className":2918,"style":2919},[649],"height:0.345em;",[574,2921],{},[574,2923],{"className":2924},[1141,1041],[574,2926],{"className":2927,"style":1145},[980],[574,2929,976],{"className":2930},[668],[574,2932],{"className":2933,"style":1145},[980],[574,2935,2937,2940],{"className":2936},[616],[574,2938],{"className":2939,"style":931},[620],[574,2941,723],{"className":2942,"style":743},[625,742]," rechnen. Probe: ",[574,2945,2947,2965],{"className":2946},[577],[574,2948,2950],{"className":2949},[581],[583,2951,2952],{"xmlns":585},[587,2953,2954,2962],{},[590,2955,2956],{},[593,2957,2958,2960],{},[596,2959,1763],{},[600,2961,602],{},[604,2963,2964],{"encoding":606},"90^\\circ",[574,2966,2968],{"className":2967,"ariaHidden":612},[611],[574,2969,2971,2974,2977],{"className":2970},[616],[574,2972],{"className":2973,"style":621},[620],[574,2975,1803],{"className":2976},[625],[574,2978,2980,2983],{"className":2979},[625],[574,2981,633],{"className":2982},[625],[574,2984,2986],{"className":2985},[637],[574,2987,2989],{"className":2988},[641],[574,2990,2992],{"className":2991},[645],[574,2993,2995],{"className":2994,"style":621},[649],[574,2996,2997,3000],{"style":652},[574,2998],{"className":2999,"style":657},[656],[574,3001,3003],{"className":3002},[661,662,663,664],[574,3004,602],{"className":3005},[668,664]," muss ",[574,3008,3010,3028],{"className":3009},[577],[574,3011,3013],{"className":3012},[581],[583,3014,3015],{"xmlns":585},[587,3016,3017,3025],{},[590,3018,3019],{},[963,3020,3021,3023],{},[721,3022,723],{},[596,3024,719],{},[604,3026,3027],{"encoding":606},"\\frac{\\pi}{2}",[574,3029,3031],{"className":3030,"ariaHidden":612},[611],[574,3032,3034,3038],{"className":3033},[616],[574,3035],{"className":3036,"style":3037},[620],"height:1.0404em;vertical-align:-0.345em;",[574,3039,3041,3044,3104],{"className":3040},[625],[574,3042],{"className":3043},[1040,1041],[574,3045,3047],{"className":3046},[963],[574,3048,3050,3096],{"className":3049},[641,1048],[574,3051,3053,3093],{"className":3052},[645],[574,3054,3057,3071,3079],{"className":3055,"style":3056},[649],"height:0.6954em;",[574,3058,3059,3062],{"style":2840},[574,3060],{"className":3061,"style":1062},[656],[574,3063,3065],{"className":3064},[661,662,663,664],[574,3066,3068],{"className":3067},[625,664],[574,3069,719],{"className":3070},[625,664],[574,3072,3073,3076],{"style":1102},[574,3074],{"className":3075,"style":1062},[656],[574,3077],{"className":3078,"style":1110},[1109],[574,3080,3081,3084],{"style":2863},[574,3082],{"className":3083,"style":1062},[656],[574,3085,3087],{"className":3086},[661,662,663,664],[574,3088,3090],{"className":3089},[625,664],[574,3091,723],{"className":3092,"style":743},[625,742,664],[574,3094,1128],{"className":3095},[1127],[574,3097,3099],{"className":3098},[645],[574,3100,3102],{"className":3101,"style":2919},[649],[574,3103],{},[574,3105],{"className":3106},[1141,1041]," ergeben, nicht ",[574,3109,3111,3126],{"className":3110},[577],[574,3112,3114],{"className":3113},[581],[583,3115,3116],{"xmlns":585},[587,3117,3118,3124],{},[590,3119,3120,3122],{},[596,3121,719],{},[721,3123,723],{},[604,3125,726],{"encoding":606},[574,3127,3129],{"className":3128,"ariaHidden":612},[611],[574,3130,3132,3135,3138],{"className":3131},[616],[574,3133],{"className":3134,"style":700},[620],[574,3136,719],{"className":3137},[625],[574,3139,723],{"className":3140,"style":743},[625,742],[2523,3142,3143,3144,3298],{},"Bogenmaß und Gradmaß mischen, z.B. ",[574,3145,3147,3174],{"className":3146},[577],[574,3148,3150],{"className":3149},[581],[583,3151,3152],{"xmlns":585},[587,3153,3154,3171],{},[590,3155,3156,3162,3165],{},[963,3157,3158,3160],{},[721,3159,723],{},[596,3161,719],{},[600,3163,3164],{},"+",[593,3166,3167,3169],{},[596,3168,1398],{},[600,3170,602],{},[604,3172,3173],{"encoding":606},"\\frac{\\pi}{2} + 30^\\circ",[574,3175,3177,3260],{"className":3176,"ariaHidden":612},[611],[574,3178,3180,3183,3251,3254,3257],{"className":3179},[616],[574,3181],{"className":3182,"style":3037},[620],[574,3184,3186,3189,3248],{"className":3185},[625],[574,3187],{"className":3188},[1040,1041],[574,3190,3192],{"className":3191},[963],[574,3193,3195,3240],{"className":3194},[641,1048],[574,3196,3198,3237],{"className":3197},[645],[574,3199,3201,3215,3223],{"className":3200,"style":3056},[649],[574,3202,3203,3206],{"style":2840},[574,3204],{"className":3205,"style":1062},[656],[574,3207,3209],{"className":3208},[661,662,663,664],[574,3210,3212],{"className":3211},[625,664],[574,3213,719],{"className":3214},[625,664],[574,3216,3217,3220],{"style":1102},[574,3218],{"className":3219,"style":1062},[656],[574,3221],{"className":3222,"style":1110},[1109],[574,3224,3225,3228],{"style":2863},[574,3226],{"className":3227,"style":1062},[656],[574,3229,3231],{"className":3230},[661,662,663,664],[574,3232,3234],{"className":3233},[625,664],[574,3235,723],{"className":3236,"style":743},[625,742,664],[574,3238,1128],{"className":3239},[1127],[574,3241,3243],{"className":3242},[645],[574,3244,3246],{"className":3245,"style":2919},[649],[574,3247],{},[574,3249],{"className":3250},[1141,1041],[574,3252],{"className":3253,"style":1145},[980],[574,3255,3164],{"className":3256},[668],[574,3258],{"className":3259,"style":1145},[980],[574,3261,3263,3266,3269],{"className":3262},[616],[574,3264],{"className":3265,"style":621},[620],[574,3267,1451],{"className":3268},[625],[574,3270,3272,3275],{"className":3271},[625],[574,3273,633],{"className":3274},[625],[574,3276,3278],{"className":3277},[637],[574,3279,3281],{"className":3280},[641],[574,3282,3284],{"className":3283},[645],[574,3285,3287],{"className":3286,"style":621},[649],[574,3288,3289,3292],{"style":652},[574,3290],{"className":3291,"style":657},[656],[574,3293,3295],{"className":3294},[661,662,663,664],[574,3296,602],{"className":3297},[668,664],". Vorher alles in dasselbe Maß umrechnen.",{"title":3300,"searchDepth":3301,"depth":3301,"links":3302},"",2,[3303,3304,3305],{"id":562,"depth":3301,"text":563},{"id":1377,"depth":3301,"text":1378},{"id":2517,"depth":3301,"text":2518},[3307,3310,3313,3316,3319,3322,3325,3328,3331,3333],{"lhs":3308,"rhs":3309},"(a\u002F180 * pi) \u002F pi * 180","a",{"lhs":3311,"rhs":3312},"2*pi*r * a\u002F360","(a\u002F180 * pi) * r",{"lhs":3314,"rhs":3315},"30\u002F180 * pi","pi\u002F6",{"lhs":3317,"rhs":3318},"round(pi\u002F6, 3)","0.524",{"lhs":3320,"rhs":3321},"90\u002F180 * pi","pi\u002F2",{"lhs":3323,"rhs":3324},"360\u002F180 * pi","2*pi",{"lhs":3326,"rhs":3327},"round(1\u002Fpi * 180, 2)","57.3",{"lhs":3329,"rhs":3330},"round(2.5\u002Fpi * 180, 2)","143.24",{"lhs":3332,"rhs":3324},"180\u002F90 * pi",{"lhs":3334,"rhs":3335},"round(sin(30), 2)","-0.99",null,"md",{"caption":3339,"x":3340,"y":3343,"unit":3345,"items":3346},"Einheitskreis mit dem Winkel α im Gradmaß; die Länge x des zugehörigen Bogens ist der Winkel im Bogenmaß",[3341,3342],-1.25,1.4,[3341,3344],1.3,90,[3347,3353,3358,3362,3367,3372,3378,3381],{"type":3348,"center":3349,"r":3351,"style":3352},"circle",[3350,3350],0,1,"muted",{"type":3354,"center":3355,"r":3351,"start":3350,"end":3356,"fill":3357},"sector",[3350,3350],70,false,{"type":3359,"from":3360,"to":3361,"style":3352},"segment",[3350,3350],[3351,3350],{"type":3359,"from":3363,"to":3364,"style":3352},[3350,3350],[3365,3366],0.342,0.9397,{"type":3368,"at":3369,"from":3370,"to":3371,"label":967},"angle",[3350,3350],[3351,3350],[3365,3366],{"type":3373,"at":3374,"text":688,"upright":3377},"label",[3375,3376],0.5,-0.14,true,{"type":3373,"at":3379,"text":958},[3351,3380],0.72,{"type":3382,"at":3383},"point",[3350,3350],"\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 238.5 229.5\" width=\"238.5\" height=\"229.5\" role=\"img\" aria-label=\"Einheitskreis mit dem Winkel α im Gradmaß; die Länge x des zugehörigen Bogens ist der Winkel im Bogenmaß\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-degrees-radians-arrow\" viewBox=\"0 0 10 10\" refX=\"9\" refY=\"5\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\u003Cpath d=\"M 0 0 L 10 5 L 0 10 z\" class=\"fig-arrowhead\"\u002F>\u003C\u002Fmarker>\u003CclipPath id=\"fig-degrees-radians-clip\">\u003Crect x=\"0\" y=\"0\" width=\"238.5\" height=\"229.5\"\u002F>\u003C\u002FclipPath>\u003C\u002Fdefs>\u003Ccircle cx=\"112.5\" cy=\"117\" r=\"90\" class=\"fig-muted\"\u002F>\u003Cpath d=\"M 202.5 117 A 90 90 0 0 0 143.28 32.43\" class=\"fig-main\"\u002F>\u003Cline x1=\"112.5\" y1=\"117\" x2=\"202.5\" y2=\"117\" class=\"fig-muted\"\u002F>\u003Cline x1=\"112.5\" y1=\"117\" x2=\"143.28\" y2=\"32.43\" class=\"fig-muted\"\u002F>\u003Cpath d=\"M 112.5 117 L 134.5 117 A 22 22 0 0 0 120.02 96.33 Z\" class=\"fig-angle\"\u002F>\u003Ctext x=\"140.35\" y=\"97.5\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">α\u003C\u002Ftext>\u003Ctext x=\"157.5\" y=\"129.6\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">1\u003C\u002Ftext>\u003Ctext x=\"202.5\" y=\"52.2\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">x\u003C\u002Ftext>\u003Ccircle cx=\"112.5\" cy=\"117\" r=\"3\" class=\"fig-dot\"\u002F>\u003C\u002Fsvg>","degrees-radians","x = \\frac{\\alpha}{180^\\circ} \\cdot \\pi","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>α\u003C\u002Fmi>\u003Cmsup>\u003Cmn>180\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003C\u002Fmfrac>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>π\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x = \\frac{\\alpha}{180^\\circ} \\cdot \\pi\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.7936em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">18\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6001em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mbin mtight\">∘\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},"\u002Fde\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fumrechnung-gradmass-bogenmass",[],[3393,3394,3395,3396],"arc-length","circle-circumference","sine-right-triangle","general-sine-function",{"title":548,"description":3300},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fumrechnung-gradmass-bogenmass","Ein Winkel im Gradmaß wird ins Bogenmaß umgerechnet, indem man ihn durch 180° teilt und mit π multipliziert.",[3401,3402,3403,3404,3405],"bogenmaß","gradmaß","winkel","radiant","umrechnung",[3407,3410,3414],{"symbol":958,"meaning":3408,"symbolHtml":3409},"Winkel im Bogenmaß (Einheit rad, oft ohne Einheit geschrieben)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3411,"meaning":3412,"symbolHtml":3413},"\\alpha","derselbe Winkel im Gradmaß","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>α\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\alpha\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":921,"meaning":3415,"symbolHtml":3416},"Kreiszahl, etwa 3,14159","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>π\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\pi\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","S9txgBH_2tEN124yCmD3wSnM_lrHZuQsZvDCkxuKFQA",[3419,3422,3425,3428],{"stem":3420,"title":3421,"category":208},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fallgemeine-sinusfunktion","Allgemeine Sinusfunktion",{"stem":3423,"title":3424,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fkreisbogen","Länge eines Kreisbogens",{"stem":3426,"title":3427,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fumfang-kreis","Umfang eines Kreises",{"stem":3429,"title":3430,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fsinus-im-rechtwinkligen-dreieck","Sinus im rechtwinkligen Dreieck",1793824263424]