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60^\\circ",[576,1160,1162,1180],{"className":1161,"ariaHidden":607},[606],[576,1163,1165,1168,1171,1174,1177],{"className":1164},[611],[576,1166],{"className":1167,"style":616},[615],[576,1169,597],{"className":1170,"style":622},[620,621],[576,1172],{"className":1173,"style":782},[781],[576,1175,755],{"className":1176},[786],[576,1178],{"className":1179,"style":782},[781],[576,1181,1183,1186,1189],{"className":1182},[611],[576,1184],{"className":1185,"style":691},[615],[576,1187,1080],{"className":1188},[620],[576,1190,1192,1195],{"className":1191},[620],[576,1193,702],{"className":1194},[620],[576,1196,1198],{"className":1197},[706],[576,1199,1201],{"className":1200},[710],[576,1202,1204],{"className":1203},[714],[576,1205,1207],{"className":1206,"style":691},[718],[576,1208,1209,1212],{"style":721},[576,1210],{"className":1211,"style":726},[725],[576,1213,1215],{"className":1214},[730,731,732,733],[576,1216,678],{"className":1217},[737,733],":",[576,1220,1223],{"className":1221},[1222],"katex-display",[576,1224,1226,1314],{"className":1225},[579],[576,1227,1229],{"className":1228},[583],[585,1230,1232],{"xmlns":587,"display":1231},"block",[589,1233,1234,1311],{},[592,1235,1236,1239,1241,1256,1259,1261,1263,1265,1267,1269,1271,1273,1280,1282,1285,1287,1289,1291,1293,1295,1297,1299,1301,1304,1307,1309],{},[595,1237,1238],{},"b",[676,1240,755],{},[1242,1243,1244,1250],"mfrac",{},[669,1245,1246,1248],{},[672,1247,1153],{},[676,1249,678],{},[669,1251,1252,1254],{},[672,1253,674],{},[676,1255,678],{},[676,1257,1258],{},"⋅",[672,1260,1023],{},[595,1262,1026],{},[676,1264,1258],{},[672,1266,1080],{},[1082,1268,1084],{},[1082,1270,1087],{},[676,1272,755],{},[1242,1274,1275,1278],{},[672,1276,1277],{},"1",[672,1279,1080],{},[676,1281,1258],{},[672,1283,1284],{},"12",[595,1286,1026],{},[1082,1288,1084],{},[1082,1290,1087],{},[676,1292,755],{},[672,1294,1023],{},[595,1296,1026],{},[1082,1298,1084],{},[1082,1300,1087],{},[676,1302,1303],{},"≈",[672,1305,1306],{},"6,28",[1082,1308,1084],{},[1082,1310,1087],{},[599,1312,1313],{"encoding":601},"b = \\frac{60^\\circ}{360^\\circ} \\cdot 2\\pi \\cdot 6\\,\\text{cm} = \\frac{1}{6} \\cdot 12\\pi\\,\\text{cm} = 2\\pi\\,\\text{cm} \\approx 6{,}28\\,\\text{cm}",[576,1315,1317,1336,1489,1510,1537,1616,1646,1676],{"className":1316,"ariaHidden":607},[606],[576,1318,1320,1324,1327,1330,1333],{"className":1319},[611],[576,1321],{"className":1322,"style":1323},[615],"height:0.6944em;",[576,1325,1238],{"className":1326},[620,621],[576,1328],{"className":1329,"style":782},[781],[576,1331,755],{"className":1332},[786],[576,1334],{"className":1335,"style":782},[781],[576,1337,1339,1343,1479,1483,1486],{"className":1338},[611],[576,1340],{"className":1341,"style":1342},[615],"height:2.0371em;vertical-align:-0.686em;",[576,1344,1346,1351,1475],{"className":1345},[620],[576,1347],{"className":1348},[1349,1350],"mopen","nulldelimiter",[576,1352,1354],{"className":1353},[1242],[576,1355,1358,1466],{"className":1356},[710,1357],"vlist-t2",[576,1359,1361,1461],{"className":1360},[714],[576,1362,1365,1409,1420],{"className":1363,"style":1364},[718],"height:1.3511em;",[576,1366,1368,1372],{"style":1367},"top:-2.314em;",[576,1369],{"className":1370,"style":1371},[725],"height:3em;",[576,1373,1375,1378],{"className":1374},[620],[576,1376,695],{"className":1377},[620],[576,1379,1381,1384],{"className":1380},[620],[576,1382,702],{"className":1383},[620],[576,1385,1387],{"className":1386},[706],[576,1388,1390],{"className":1389},[710],[576,1391,1393],{"className":1392},[714],[576,1394,1397],{"className":1395,"style":1396},[718],"height:0.6001em;",[576,1398,1400,1403],{"style":1399},"top:-2.989em;margin-right:0.05em;",[576,1401],{"className":1402,"style":726},[725],[576,1404,1406],{"className":1405},[730,731,732,733],[576,1407,678],{"className":1408},[737,733],[576,1410,1412,1415],{"style":1411},"top:-3.23em;",[576,1413],{"className":1414,"style":1371},[725],[576,1416],{"className":1417,"style":1419},[1418],"frac-line","border-bottom-width:0.04em;",[576,1421,1423,1426],{"style":1422},"top:-3.677em;",[576,1424],{"className":1425,"style":1371},[725],[576,1427,1429,1432],{"className":1428},[620],[576,1430,1080],{"className":1431},[620],[576,1433,1435,1438],{"className":1434},[620],[576,1436,702],{"className":1437},[620],[576,1439,1441],{"className":1440},[706],[576,1442,1444],{"className":1443},[710],[576,1445,1447],{"className":1446},[714],[576,1448,1450],{"className":1449,"style":691},[718],[576,1451,1452,1455],{"style":721},[576,1453],{"className":1454,"style":726},[725],[576,1456,1458],{"className":1457},[730,731,732,733],[576,1459,678],{"className":1460},[737,733],[576,1462,1465],{"className":1463},[1464],"vlist-s","​",[576,1467,1469],{"className":1468},[714],[576,1470,1473],{"className":1471,"style":1472},[718],"height:0.686em;",[576,1474],{},[576,1476],{"className":1477},[1478,1350],"mclose",[576,1480],{"className":1481,"style":1482},[781],"margin-right:0.2222em;",[576,1484,1258],{"className":1485},[737],[576,1487],{"className":1488,"style":1482},[781],[576,1490,1492,1495,1498,1501,1504,1507],{"className":1491},[611],[576,1493],{"className":1494,"style":1042},[615],[576,1496,1023],{"className":1497},[620],[576,1499,1026],{"className":1500,"style":1049},[620,621],[576,1502],{"className":1503,"style":1482},[781],[576,1505,1258],{"className":1506},[737],[576,1508],{"className":1509,"style":1482},[781],[576,1511,1513,1516,1519,1522,1528,1531,1534],{"className":1512},[611],[576,1514],{"className":1515,"style":1042},[615],[576,1517,1080],{"className":1518},[620],[576,1520],{"className":1521,"style":1124},[781],[576,1523,1525],{"className":1524},[620,1128],[576,1526,1087],{"className":1527},[620],[576,1529],{"className":1530,"style":782},[781],[576,1532,755],{"className":1533},[786],[576,1535],{"className":1536,"style":782},[781],[576,1538,1540,1544,1607,1610,1613],{"className":1539},[611],[576,1541],{"className":1542,"style":1543},[615],"height:2.0074em;vertical-align:-0.686em;",[576,1545,1547,1550,1604],{"className":1546},[620],[576,1548],{"className":1549},[1349,1350],[576,1551,1553],{"className":1552},[1242],[576,1554,1556,1596],{"className":1555},[710,1357],[576,1557,1559,1593],{"className":1558},[714],[576,1560,1563,1574,1582],{"className":1561,"style":1562},[718],"height:1.3214em;",[576,1564,1565,1568],{"style":1367},[576,1566],{"className":1567,"style":1371},[725],[576,1569,1571],{"className":1570},[620],[576,1572,1080],{"className":1573},[620],[576,1575,1576,1579],{"style":1411},[576,1577],{"className":1578,"style":1371},[725],[576,1580],{"className":1581,"style":1419},[1418],[576,1583,1584,1587],{"style":1422},[576,1585],{"className":1586,"style":1371},[725],[576,1588,1590],{"className":1589},[620],[576,1591,1277],{"className":1592},[620],[576,1594,1465],{"className":1595},[1464],[576,1597,1599],{"className":1598},[714],[576,1600,1602],{"className":1601,"style":1472},[718],[576,1603],{},[576,1605],{"className":1606},[1478,1350],[576,1608],{"className":1609,"style":1482},[781],[576,1611,1258],{"className":1612},[737],[576,1614],{"className":1615,"style":1482},[781],[576,1617,1619,1622,1625,1628,1631,1637,1640,1643],{"className":1618},[611],[576,1620],{"className":1621,"style":1042},[615],[576,1623,1284],{"className":1624},[620],[576,1626,1026],{"className":1627,"style":1049},[620,621],[576,1629],{"className":1630,"style":1124},[781],[576,1632,1634],{"className":1633},[620,1128],[576,1635,1087],{"className":1636},[620],[576,1638],{"className":1639,"style":782},[781],[576,1641,755],{"className":1642},[786],[576,1644],{"className":1645,"style":782},[781],[576,1647,1649,1652,1655,1658,1661,1667,1670,1673],{"className":1648},[611],[576,1650],{"className":1651,"style":1042},[615],[576,1653,1023],{"className":1654},[620],[576,1656,1026],{"className":1657,"style":1049},[620,621],[576,1659],{"className":1660,"style":1124},[781],[576,1662,1664],{"className":1663},[620,1128],[576,1665,1087],{"className":1666},[620],[576,1668],{"className":1669,"style":782},[781],[576,1671,1303],{"className":1672},[786],[576,1674],{"className":1675,"style":782},[781],[576,1677,1679,1683,1686,1694,1698,1701],{"className":1678},[611],[576,1680],{"className":1681,"style":1682},[615],"height:0.8389em;vertical-align:-0.1944em;",[576,1684,1080],{"className":1685},[620],[576,1687,1689],{"className":1688},[620],[576,1690,1693],{"className":1691},[1692],"mpunct",",",[576,1695,1697],{"className":1696},[620],"28",[576,1699],{"className":1700,"style":1124},[781],[576,1702,1704],{"className":1703},[620,1128],[576,1705,1087],{"className":1706},[620],[563,1708,1709,1710,1753,1754,1816],{},"Der Minutenzeiger einer Uhr ist ",[576,1711,1713,1732],{"className":1712},[579],[576,1714,1716],{"className":1715},[583],[585,1717,1718],{"xmlns":587},[589,1719,1720,1729],{},[592,1721,1722,1725,1727],{},[672,1723,1724],{},"10",[1082,1726,1084],{},[1082,1728,1087],{},[599,1730,1731],{"encoding":601},"10\\,\\text{cm}",[576,1733,1735],{"className":1734,"ariaHidden":607},[606],[576,1736,1738,1741,1744,1747],{"className":1737},[611],[576,1739],{"className":1740,"style":1042},[615],[576,1742,1724],{"className":1743},[620],[576,1745],{"className":1746,"style":1124},[781],[576,1748,1750],{"className":1749},[620,1128],[576,1751,1087],{"className":1752},[620]," lang. In 15 Minuten dreht er sich um ",[576,1755,1757,1775],{"className":1756},[579],[576,1758,1760],{"className":1759},[583],[585,1761,1762],{"xmlns":587},[589,1763,1764,1772],{},[592,1765,1766],{},[669,1767,1768,1770],{},[672,1769,760],{},[676,1771,678],{},[599,1773,1774],{"encoding":601},"90^\\circ",[576,1776,1778],{"className":1777,"ariaHidden":607},[606],[576,1779,1781,1784,1787],{"className":1780},[611],[576,1782],{"className":1783,"style":691},[615],[576,1785,799],{"className":1786},[620],[576,1788,1790,1793],{"className":1789},[620],[576,1791,702],{"className":1792},[620],[576,1794,1796],{"className":1795},[706],[576,1797,1799],{"className":1798},[710],[576,1800,1802],{"className":1801},[714],[576,1803,1805],{"className":1804,"style":691},[718],[576,1806,1807,1810],{"style":721},[576,1808],{"className":1809,"style":726},[725],[576,1811,1813],{"className":1812},[730,731,732,733],[576,1814,678],{"className":1815},[737,733],". Seine Spitze legt dabei diesen Weg zurück:",[576,1818,1820],{"className":1819},[1222],[576,1821,1823,1887],{"className":1822},[579],[576,1824,1826],{"className":1825},[583],[585,1827,1828],{"xmlns":587,"display":1231},[589,1829,1830,1884],{},[592,1831,1832,1834,1836,1850,1852,1854,1856,1858,1860,1862,1864,1866,1869,1871,1873,1875,1877,1880,1882],{},[595,1833,1238],{},[676,1835,755],{},[1242,1837,1838,1844],{},[669,1839,1840,1842],{},[672,1841,760],{},[676,1843,678],{},[669,1845,1846,1848],{},[672,1847,674],{},[676,1849,678],{},[676,1851,1258],{},[672,1853,1023],{},[595,1855,1026],{},[676,1857,1258],{},[672,1859,1724],{},[1082,1861,1084],{},[1082,1863,1087],{},[676,1865,755],{},[672,1867,1868],{},"5",[595,1870,1026],{},[1082,1872,1084],{},[1082,1874,1087],{},[676,1876,1303],{},[672,1878,1879],{},"15,71",[1082,1881,1084],{},[1082,1883,1087],{},[599,1885,1886],{"encoding":601},"b = \\frac{90^\\circ}{360^\\circ} \\cdot 2\\pi \\cdot 10\\,\\text{cm} = 5\\pi\\,\\text{cm} \\approx 15{,}71\\,\\text{cm}",[576,1888,1890,1908,2043,2064,2091,2121],{"className":1889,"ariaHidden":607},[606],[576,1891,1893,1896,1899,1902,1905],{"className":1892},[611],[576,1894],{"className":1895,"style":1323},[615],[576,1897,1238],{"className":1898},[620,621],[576,1900],{"className":1901,"style":782},[781],[576,1903,755],{"className":1904},[786],[576,1906],{"className":1907,"style":782},[781],[576,1909,1911,1914,2034,2037,2040],{"className":1910},[611],[576,1912],{"className":1913,"style":1342},[615],[576,1915,1917,1920,2031],{"className":1916},[620],[576,1918],{"className":1919},[1349,1350],[576,1921,1923],{"className":1922},[1242],[576,1924,1926,2023],{"className":1925},[710,1357],[576,1927,1929,2020],{"className":1928},[714],[576,1930,1932,1972,1980],{"className":1931,"style":1364},[718],[576,1933,1934,1937],{"style":1367},[576,1935],{"className":1936,"style":1371},[725],[576,1938,1940,1943],{"className":1939},[620],[576,1941,695],{"className":1942},[620],[576,1944,1946,1949],{"className":1945},[620],[576,1947,702],{"className":1948},[620],[576,1950,1952],{"className":1951},[706],[576,1953,1955],{"className":1954},[710],[576,1956,1958],{"className":1957},[714],[576,1959,1961],{"className":1960,"style":1396},[718],[576,1962,1963,1966],{"style":1399},[576,1964],{"className":1965,"style":726},[725],[576,1967,1969],{"className":1968},[730,731,732,733],[576,1970,678],{"className":1971},[737,733],[576,1973,1974,1977],{"style":1411},[576,1975],{"className":1976,"style":1371},[725],[576,1978],{"className":1979,"style":1419},[1418],[576,1981,1982,1985],{"style":1422},[576,1983],{"className":1984,"style":1371},[725],[576,1986,1988,1991],{"className":1987},[620],[576,1989,799],{"className":1990},[620],[576,1992,1994,1997],{"className":1993},[620],[576,1995,702],{"className":1996},[620],[576,1998,2000],{"className":1999},[706],[576,2001,2003],{"className":2002},[710],[576,2004,2006],{"className":2005},[714],[576,2007,2009],{"className":2008,"style":691},[718],[576,2010,2011,2014],{"style":721},[576,2012],{"className":2013,"style":726},[725],[576,2015,2017],{"className":2016},[730,731,732,733],[576,2018,678],{"className":2019},[737,733],[576,2021,1465],{"className":2022},[1464],[576,2024,2026],{"className":2025},[714],[576,2027,2029],{"className":2028,"style":1472},[718],[576,2030],{},[576,2032],{"className":2033},[1478,1350],[576,2035],{"className":2036,"style":1482},[781],[576,2038,1258],{"className":2039},[737],[576,2041],{"className":2042,"style":1482},[781],[576,2044,2046,2049,2052,2055,2058,2061],{"className":2045},[611],[576,2047],{"className":2048,"style":1042},[615],[576,2050,1023],{"className":2051},[620],[576,2053,1026],{"className":2054,"style":1049},[620,621],[576,2056],{"className":2057,"style":1482},[781],[576,2059,1258],{"className":2060},[737],[576,2062],{"className":2063,"style":1482},[781],[576,2065,2067,2070,2073,2076,2082,2085,2088],{"className":2066},[611],[576,2068],{"className":2069,"style":1042},[615],[576,2071,1724],{"className":2072},[620],[576,2074],{"className":2075,"style":1124},[781],[576,2077,2079],{"className":2078},[620,1128],[576,2080,1087],{"className":2081},[620],[576,2083],{"className":2084,"style":782},[781],[576,2086,755],{"className":2087},[786],[576,2089],{"className":2090,"style":782},[781],[576,2092,2094,2097,2100,2103,2106,2112,2115,2118],{"className":2093},[611],[576,2095],{"className":2096,"style":1042},[615],[576,2098,1868],{"className":2099},[620],[576,2101,1026],{"className":2102,"style":1049},[620,621],[576,2104],{"className":2105,"style":1124},[781],[576,2107,2109],{"className":2108},[620,1128],[576,2110,1087],{"className":2111},[620],[576,2113],{"className":2114,"style":782},[781],[576,2116,1303],{"className":2117},[786],[576,2119],{"className":2120,"style":782},[781],[576,2122,2124,2127,2131,2137,2141,2144],{"className":2123},[611],[576,2125],{"className":2126,"style":1682},[615],[576,2128,2130],{"className":2129},[620],"15",[576,2132,2134],{"className":2133},[620],[576,2135,1693],{"className":2136},[1692],[576,2138,2140],{"className":2139},[620],"71",[576,2142],{"className":2143,"style":1124},[781],[576,2145,2147],{"className":2146},[620,1128],[576,2148,1087],{"className":2149},[620],[558,2151,2153],{"id":2152},"typische-fehler","Typische Fehler",[2155,2156,2157,2266,2423],"ul",{},[2158,2159,2160,2161,2226,2227,2265],"li",{},"Mit der Kreisfläche ",[576,2162,2164,2184],{"className":2163},[579],[576,2165,2167],{"className":2166},[583],[585,2168,2169],{"xmlns":587},[589,2170,2171,2181],{},[592,2172,2173,2175],{},[595,2174,1026],{},[669,2176,2177,2179],{},[595,2178,1029],{},[672,2180,1023],{},[599,2182,2183],{"encoding":601},"\\pi r^2",[576,2185,2187],{"className":2186,"ariaHidden":607},[606],[576,2188,2190,2194,2197],{"className":2189},[611],[576,2191],{"className":2192,"style":2193},[615],"height:0.8141em;",[576,2195,1026],{"className":2196,"style":1049},[620,621],[576,2198,2200,2203],{"className":2199},[620],[576,2201,1029],{"className":2202,"style":1053},[620,621],[576,2204,2206],{"className":2205},[706],[576,2207,2209],{"className":2208},[710],[576,2210,2212],{"className":2211},[714],[576,2213,2215],{"className":2214,"style":2193},[718],[576,2216,2217,2220],{"style":721},[576,2218],{"className":2219,"style":726},[725],[576,2221,2223],{"className":2222},[730,731,732,733],[576,2224,1023],{"className":2225},[620,733]," statt mit dem Umfang ",[576,2228,2230,2247],{"className":2229},[579],[576,2231,2233],{"className":2232},[583],[585,2234,2235],{"xmlns":587},[589,2236,2237,2245],{},[592,2238,2239,2241,2243],{},[672,2240,1023],{},[595,2242,1026],{},[595,2244,1029],{},[599,2246,1032],{"encoding":601},[576,2248,2250],{"className":2249,"ariaHidden":607},[606],[576,2251,2253,2256,2259,2262],{"className":2252},[611],[576,2254],{"className":2255,"style":1042},[615],[576,2257,1023],{"className":2258},[620],[576,2260,1026],{"className":2261,"style":1049},[620,621],[576,2263,1029],{"className":2264,"style":1053},[620,621]," rechnen. Das wäre der Kreissektor.",[2158,2267,2268,2269,2330,2331,2393,2394,1054],{},"Den Winkel nicht durch ",[576,2270,2272,2289],{"className":2271},[579],[576,2273,2275],{"className":2274},[583],[585,2276,2277],{"xmlns":587},[589,2278,2279,2287],{},[592,2280,2281],{},[669,2282,2283,2285],{},[672,2284,674],{},[676,2286,678],{},[599,2288,681],{"encoding":601},[576,2290,2292],{"className":2291,"ariaHidden":607},[606],[576,2293,2295,2298,2301],{"className":2294},[611],[576,2296],{"className":2297,"style":691},[615],[576,2299,695],{"className":2300},[620],[576,2302,2304,2307],{"className":2303},[620],[576,2305,702],{"className":2306},[620],[576,2308,2310],{"className":2309},[706],[576,2311,2313],{"className":2312},[710],[576,2314,2316],{"className":2315},[714],[576,2317,2319],{"className":2318,"style":691},[718],[576,2320,2321,2324],{"style":721},[576,2322],{"className":2323,"style":726},[725],[576,2325,2327],{"className":2326},[730,731,732,733],[576,2328,678],{"className":2329},[737,733]," teilen, sondern z.B. durch ",[576,2332,2334,2352],{"className":2333},[579],[576,2335,2337],{"className":2336},[583],[585,2338,2339],{"xmlns":587},[589,2340,2341,2349],{},[592,2342,2343],{},[669,2344,2345,2347],{},[672,2346,850],{},[676,2348,678],{},[599,2350,2351],{"encoding":601},"180^\\circ",[576,2353,2355],{"className":2354,"ariaHidden":607},[606],[576,2356,2358,2361,2364],{"className":2357},[611],[576,2359],{"className":2360,"style":691},[615],[576,2362,886],{"className":2363},[620],[576,2365,2367,2370],{"className":2366},[620],[576,2368,702],{"className":2369},[620],[576,2371,2373],{"className":2372},[706],[576,2374,2376],{"className":2375},[710],[576,2377,2379],{"className":2378},[714],[576,2380,2382],{"className":2381,"style":691},[718],[576,2383,2384,2387],{"style":721},[576,2385],{"className":2386,"style":726},[725],[576,2388,2390],{"className":2389},[730,731,732,733],[576,2391,678],{"className":2392},[737,733]," oder ",[576,2395,2397,2411],{"className":2396},[579],[576,2398,2400],{"className":2399},[583],[585,2401,2402],{"xmlns":587},[589,2403,2404,2409],{},[592,2405,2406],{},[672,2407,2408],{},"100",[599,2410,2408],{"encoding":601},[576,2412,2414],{"className":2413,"ariaHidden":607},[606],[576,2415,2417,2420],{"className":2416},[611],[576,2418],{"className":2419,"style":1042},[615],[576,2421,2408],{"className":2422},[620],[2158,2424,2425,2426,2454],{},"Einen Winkel im Bogenmaß in die Formel einsetzen. Hier muss ",[576,2427,2429,2442],{"className":2428},[579],[576,2430,2432],{"className":2431},[583],[585,2433,2434],{"xmlns":587},[589,2435,2436,2440],{},[592,2437,2438],{},[595,2439,597],{},[599,2441,602],{"encoding":601},[576,2443,2445],{"className":2444,"ariaHidden":607},[606],[576,2446,2448,2451],{"className":2447},[611],[576,2449],{"className":2450,"style":616},[615],[576,2452,597],{"className":2453,"style":622},[620,621]," in Grad stehen.",{"title":2456,"searchDepth":2457,"depth":2457,"links":2458},"",2,[2459,2460,2461],{"id":560,"depth":2457,"text":561},{"id":1057,"depth":2457,"text":1058},{"id":2152,"depth":2457,"text":2153},[2463,2466,2470,2473,2476,2479],{"lhs":2464,"rhs":2465},"alpha \u002F 360 * 2 * pi * r","pi * r * alpha \u002F 180",{"lhs":2464,"rhs":2467,"where":2468},"2 * pi * r",{"alpha":2469},360,{"lhs":2471,"rhs":2472},"60 \u002F 360 * 2 * pi * 6","2 * pi",{"lhs":2474,"rhs":2475},"round(2 * pi, 2)","6.28",{"lhs":2477,"rhs":2478},"90 \u002F 360 * 2 * pi * 10","5 * pi",{"lhs":2480,"rhs":2481},"round(5 * pi, 2)","15.71","0^\\circ \u003C \\alpha \\leq 360^\\circ","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmn>0\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo><\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmsup>\u003Cmn>360\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0^\\circ < \\alpha \\leq 360^\\circ\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:0.7132em;vertical-align:-0.0391em;\">\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:0.6741em;\">\u003Cspan style=\"top:-3.063em;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>\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:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\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:0.6741em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">36\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:0.6741em;\">\u003Cspan style=\"top:-3.063em;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>\u003C\u002Fspan>",null,"md",{"caption":2487,"x":2488,"y":2491,"items":2493},"Kreisbogen b zum Mittelpunktswinkel α in einem Kreis mit Radius r",[2489,2490],-2.6,2.6,[2489,2492],2.85,[2494,2500,2506,2511,2517,2522,2527,2531],{"type":2495,"center":2496,"r":2498,"style":2499},"circle",[2497,2497],0,2.2,"muted",{"type":2501,"from":2502,"to":2503,"style":2499},"segment",[2497,2497],[2504,2505],2.067,0.752,{"type":2501,"from":2507,"to":2508,"style":2499},[2497,2497],[2509,2510],-1.1,1.905,{"type":2512,"center":2513,"r":2498,"start":2514,"end":2515,"fill":2516},"sector",[2497,2497],20,120,false,{"type":2518,"at":2519,"from":2520,"to":2521,"label":597},"angle",[2497,2497],[2504,2505],[2509,2510],{"type":2523,"at":2524,"text":1029},"label",[2525,2526],1.13,0.1,{"type":2523,"at":2528,"text":1238},[2529,2530],0.872,2.396,{"type":2532,"at":2533,"label":2534,"offset":2535},"point",[2497,2497],"M",[2536,2537],-6,16,"\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 249.6 261.6\" width=\"249.6\" height=\"261.6\" role=\"img\" aria-label=\"Kreisbogen b zum Mittelpunktswinkel α in einem 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class=\"fig-label\">α\u003C\u002Ftext>\u003Ctext x=\"179.04\" y=\"132\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">r\u003C\u002Ftext>\u003Ctext x=\"166.66\" y=\"21.79\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">b\u003C\u002Ftext>\u003Ccircle cx=\"124.8\" cy=\"136.8\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"118.8\" y=\"152.8\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">M\u003C\u002Ftext>\u003C\u002Fsvg>","arc-length","b = \\frac{\\alpha}{360^\\circ} \\cdot 2 \\pi r","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" 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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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">2\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">r\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fgeometry\u002Fkreisbogen",[],[2548,2549,2550],"circle-circumference","circular-sector-area","degrees-radians",{"title":548,"description":2456},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fkreisbogen","Ein Kreisbogen ist der Anteil α\u002F360° vom ganzen Kreisumfang 2πr.",[2555,2556,2557,2558,2559],"kreis","kreisbogen","bogenlänge","winkel","kreiszahl 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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":1029,"meaning":2568,"symbolHtml":2569},"Radius des Kreises","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>r\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation 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style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","anU9ETqWde4kQ6koaAExPOeSsgGeqhnCYTClqN3tIbY",[2576,2579,2582],{"stem":2577,"title":2578,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fkreissektor","Flächeninhalt eines Kreissektors",{"stem":2580,"title":2581,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fumfang-kreis","Umfang eines Kreises",{"stem":2583,"title":2584,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fumrechnung-gradmass-bogenmass","Umrechnung Gradmaß in Bogenmaß",1793824269376]