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60^\\circ",[577,1048,1050,1068],{"className":1049,"ariaHidden":608},[607],[577,1051,1053,1056,1059,1062,1065],{"className":1052},[612],[577,1054],{"className":1055,"style":617},[616],[577,1057,598],{"className":1058,"style":623},[621,622],[577,1060],{"className":1061,"style":837},[836],[577,1063,800],{"className":1064},[841],[577,1066],{"className":1067,"style":837},[836],[577,1069,1071,1074,1077],{"className":1070},[612],[577,1072],{"className":1073,"style":692},[616],[577,1075,967],{"className":1076},[621],[577,1078,1080,1083],{"className":1079},[621],[577,1081,703],{"className":1082},[621],[577,1084,1086],{"className":1085},[707],[577,1087,1089],{"className":1088},[711],[577,1090,1092],{"className":1091},[715],[577,1093,1095],{"className":1094,"style":692},[719],[577,1096,1097,1100],{"style":722},[577,1098],{"className":1099,"style":727},[726],[577,1101,1103],{"className":1102},[731,732,733,734],[577,1104,679],{"className":1105},[738,734],":",[577,1108,1110],{"className":1109},[781],[577,1111,1113,1218],{"className":1112},[580],[577,1114,1116],{"className":1115},[584],[586,1117,1118],{"xmlns":588,"display":790},[590,1119,1120,1215],{},[593,1121,1122,1124,1126,1140,1142,1145,1147,1151,1153,1155,1157,1164,1166,1173,1175,1177,1179,1181,1187,1189,1191,1193,1195,1201,1204,1207,1209],{},[596,1123,797],{},[677,1125,800],{},[802,1127,1128,1134],{},[670,1129,1130,1132],{},[673,1131,1041],{},[677,1133,679],{},[670,1135,1136,1138],{},[673,1137,675],{},[677,1139,679],{},[677,1141,810],{},[596,1143,1144],{},"π",[677,1146,810],{},[677,1148,1150],{"stretchy":1149},"false","(",[673,1152,967],{},[969,1154,971],{},[969,1156,974],{},[670,1158,1159,1162],{},[677,1160,1161],{"stretchy":1149},")",[673,1163,816],{},[677,1165,800],{},[802,1167,1168,1171],{},[673,1169,1170],{},"1",[673,1172,967],{},[677,1174,810],{},[673,1176,696],{},[596,1178,1144],{},[969,1180,971],{},[670,1182,1183,1185],{},[969,1184,974],{},[673,1186,816],{},[677,1188,800],{},[673,1190,967],{},[596,1192,1144],{},[969,1194,971],{},[670,1196,1197,1199],{},[969,1198,974],{},[673,1200,816],{},[677,1202,1203],{},"≈",[673,1205,1206],{},"18,85",[969,1208,971],{},[670,1210,1211,1213],{},[969,1212,974],{},[673,1214,816],{},[600,1216,1217],{"encoding":602},"A = \\frac{60^\\circ}{360^\\circ} \\cdot \\pi \\cdot (6\\,\\text{cm})^2 = \\frac{1}{6} \\cdot 36\\pi\\,\\text{cm}^2 = 6\\pi\\,\\text{cm}^2 \\approx 18{,}85\\,\\text{cm}^2",[577,1219,1221,1239,1378,1398,1460,1539,1595,1651],{"className":1220,"ariaHidden":608},[607],[577,1222,1224,1227,1230,1233,1236],{"className":1223},[612],[577,1225],{"className":1226,"style":829},[616],[577,1228,797],{"className":1229},[621,622],[577,1231],{"className":1232,"style":837},[836],[577,1234,800],{"className":1235},[841],[577,1237],{"className":1238,"style":837},[836],[577,1240,1242,1246,1369,1372,1375],{"className":1241},[612],[577,1243],{"className":1244,"style":1245},[616],"height:2.0371em;vertical-align:-0.686em;",[577,1247,1249,1252,1366],{"className":1248},[621],[577,1250],{"className":1251},[858,859],[577,1253,1255],{"className":1254},[802],[577,1256,1258,1358],{"className":1257},[711,866],[577,1259,1261,1355],{"className":1260},[715],[577,1262,1265,1307,1315],{"className":1263,"style":1264},[719],"height:1.3511em;",[577,1266,1267,1270],{"style":876},[577,1268],{"className":1269,"style":880},[726],[577,1271,1273,1276],{"className":1272},[621],[577,1274,696],{"className":1275},[621],[577,1277,1279,1282],{"className":1278},[621],[577,1280,703],{"className":1281},[621],[577,1283,1285],{"className":1284},[707],[577,1286,1288],{"className":1287},[711],[577,1289,1291],{"className":1290},[715],[577,1292,1295],{"className":1293,"style":1294},[719],"height:0.6001em;",[577,1296,1298,1301],{"style":1297},"top:-2.989em;margin-right:0.05em;",[577,1299],{"className":1300,"style":727},[726],[577,1302,1304],{"className":1303},[731,732,733,734],[577,1305,679],{"className":1306},[738,734],[577,1308,1309,1312],{"style":889},[577,1310],{"className":1311,"style":880},[726],[577,1313],{"className":1314,"style":897},[896],[577,1316,1317,1320],{"style":900},[577,1318],{"className":1319,"style":880},[726],[577,1321,1323,1326],{"className":1322},[621],[577,1324,967],{"className":1325},[621],[577,1327,1329,1332],{"className":1328},[621],[577,1330,703],{"className":1331},[621],[577,1333,1335],{"className":1334},[707],[577,1336,1338],{"className":1337},[711],[577,1339,1341],{"className":1340},[715],[577,1342,1344],{"className":1343,"style":692},[719],[577,1345,1346,1349],{"style":722},[577,1347],{"className":1348,"style":727},[726],[577,1350,1352],{"className":1351},[731,732,733,734],[577,1353,679],{"className":1354},[738,734],[577,1356,928],{"className":1357},[927],[577,1359,1361],{"className":1360},[715],[577,1362,1364],{"className":1363,"style":935},[719],[577,1365],{},[577,1367],{"className":1368},[941,859],[577,1370],{"className":1371,"style":913},[836],[577,1373,810],{"className":1374},[738],[577,1376],{"className":1377,"style":913},[836],[577,1379,1381,1385,1389,1392,1395],{"className":1380},[612],[577,1382],{"className":1383,"style":1384},[616],"height:0.4445em;",[577,1386,1144],{"className":1387,"style":1388},[621,622],"margin-right:0.0359em;",[577,1390],{"className":1391,"style":913},[836],[577,1393,810],{"className":1394},[738],[577,1396],{"className":1397,"style":913},[836],[577,1399,1401,1405,1408,1411,1414,1420,1451,1454,1457],{"className":1400},[612],[577,1402],{"className":1403,"style":1404},[616],"height:1.1141em;vertical-align:-0.25em;",[577,1406,1150],{"className":1407},[858],[577,1409,967],{"className":1410},[621],[577,1412],{"className":1413,"style":1012},[836],[577,1415,1417],{"className":1416},[621,1016],[577,1418,974],{"className":1419},[621],[577,1421,1423,1426],{"className":1422},[941],[577,1424,1161],{"className":1425},[941],[577,1427,1429],{"className":1428},[707],[577,1430,1432],{"className":1431},[711],[577,1433,1435],{"className":1434},[715],[577,1436,1439],{"className":1437,"style":1438},[719],"height:0.8641em;",[577,1440,1442,1445],{"style":1441},"top:-3.113em;margin-right:0.05em;",[577,1443],{"className":1444,"style":727},[726],[577,1446,1448],{"className":1447},[731,732,733,734],[577,1449,816],{"className":1450},[621,734],[577,1452],{"className":1453,"style":837},[836],[577,1455,800],{"className":1456},[841],[577,1458],{"className":1459,"style":837},[836],[577,1461,1463,1467,1530,1533,1536],{"className":1462},[612],[577,1464],{"className":1465,"style":1466},[616],"height:2.0074em;vertical-align:-0.686em;",[577,1468,1470,1473,1527],{"className":1469},[621],[577,1471],{"className":1472},[858,859],[577,1474,1476],{"className":1475},[802],[577,1477,1479,1519],{"className":1478},[711,866],[577,1480,1482,1516],{"className":1481},[715],[577,1483,1486,1497,1505],{"className":1484,"style":1485},[719],"height:1.3214em;",[577,1487,1488,1491],{"style":876},[577,1489],{"className":1490,"style":880},[726],[577,1492,1494],{"className":1493},[621],[577,1495,967],{"className":1496},[621],[577,1498,1499,1502],{"style":889},[577,1500],{"className":1501,"style":880},[726],[577,1503],{"className":1504,"style":897},[896],[577,1506,1507,1510],{"style":900},[577,1508],{"className":1509,"style":880},[726],[577,1511,1513],{"className":1512},[621],[577,1514,1170],{"className":1515},[621],[577,1517,928],{"className":1518},[927],[577,1520,1522],{"className":1521},[715],[577,1523,1525],{"className":1524,"style":935},[719],[577,1526],{},[577,1528],{"className":1529},[941,859],[577,1531],{"className":1532,"style":913},[836],[577,1534,810],{"className":1535},[738],[577,1537],{"className":1538,"style":913},[836],[577,1540,1542,1545,1548,1551,1554,1586,1589,1592],{"className":1541},[612],[577,1543],{"className":1544,"style":1438},[616],[577,1546,696],{"className":1547},[621],[577,1549,1144],{"className":1550,"style":1388},[621,622],[577,1552],{"className":1553,"style":1012},[836],[577,1555,1557,1563],{"className":1556},[621],[577,1558,1560],{"className":1559},[621,1016],[577,1561,974],{"className":1562},[621],[577,1564,1566],{"className":1565},[707],[577,1567,1569],{"className":1568},[711],[577,1570,1572],{"className":1571},[715],[577,1573,1575],{"className":1574,"style":1438},[719],[577,1576,1577,1580],{"style":1441},[577,1578],{"className":1579,"style":727},[726],[577,1581,1583],{"className":1582},[731,732,733,734],[577,1584,816],{"className":1585},[621,734],[577,1587],{"className":1588,"style":837},[836],[577,1590,800],{"className":1591},[841],[577,1593],{"className":1594,"style":837},[836],[577,1596,1598,1601,1604,1607,1610,1642,1645,1648],{"className":1597},[612],[577,1599],{"className":1600,"style":1438},[616],[577,1602,967],{"className":1603},[621],[577,1605,1144],{"className":1606,"style":1388},[621,622],[577,1608],{"className":1609,"style":1012},[836],[577,1611,1613,1619],{"className":1612},[621],[577,1614,1616],{"className":1615},[621,1016],[577,1617,974],{"className":1618},[621],[577,1620,1622],{"className":1621},[707],[577,1623,1625],{"className":1624},[711],[577,1626,1628],{"className":1627},[715],[577,1629,1631],{"className":1630,"style":1438},[719],[577,1632,1633,1636],{"style":1441},[577,1634],{"className":1635,"style":727},[726],[577,1637,1639],{"className":1638},[731,732,733,734],[577,1640,816],{"className":1641},[621,734],[577,1643],{"className":1644,"style":837},[836],[577,1646,1203],{"className":1647},[841],[577,1649],{"className":1650,"style":837},[836],[577,1652,1654,1658,1662,1670,1674,1677],{"className":1653},[612],[577,1655],{"className":1656,"style":1657},[616],"height:1.0585em;vertical-align:-0.1944em;",[577,1659,1661],{"className":1660},[621],"18",[577,1663,1665],{"className":1664},[621],[577,1666,1669],{"className":1667},[1668],"mpunct",",",[577,1671,1673],{"className":1672},[621],"85",[577,1675],{"className":1676,"style":1012},[836],[577,1678,1680,1686],{"className":1679},[621],[577,1681,1683],{"className":1682},[621,1016],[577,1684,974],{"className":1685},[621],[577,1687,1689],{"className":1688},[707],[577,1690,1692],{"className":1691},[711],[577,1693,1695],{"className":1694},[715],[577,1696,1698],{"className":1697,"style":1438},[719],[577,1699,1700,1703],{"style":1441},[577,1701],{"className":1702,"style":727},[726],[577,1704,1706],{"className":1705},[731,732,733,734],[577,1707,816],{"className":1708},[621,734],[564,1710,1711,1712,1755,1756,1106],{},"Eine runde Pizza mit dem Radius ",[577,1713,1715,1734],{"className":1714},[580],[577,1716,1718],{"className":1717},[584],[586,1719,1720],{"xmlns":588},[590,1721,1722,1731],{},[593,1723,1724,1727,1729],{},[673,1725,1726],{},"15",[969,1728,971],{},[969,1730,974],{},[600,1732,1733],{"encoding":602},"15\\,\\text{cm}",[577,1735,1737],{"className":1736,"ariaHidden":608},[607],[577,1738,1740,1743,1746,1749],{"className":1739},[612],[577,1741],{"className":1742,"style":1005},[616],[577,1744,1726],{"className":1745},[621],[577,1747],{"className":1748,"style":1012},[836],[577,1750,1752],{"className":1751},[621,1016],[577,1753,974],{"className":1754},[621]," wird in 8 gleiche Stücke geschnitten. Jedes Stück hat den Winkel ",[577,1757,1759,1791],{"className":1758},[580],[577,1760,1762],{"className":1761},[584],[586,1763,1764],{"xmlns":588},[590,1765,1766,1788],{},[593,1767,1768,1774,1776,1779,1781],{},[670,1769,1770,1772],{},[673,1771,675],{},[677,1773,679],{},[677,1775,1106],{},[673,1777,1778],{},"8",[677,1780,800],{},[670,1782,1783,1786],{},[673,1784,1785],{},"45",[677,1787,679],{},[600,1789,1790],{"encoding":602},"360^\\circ : 8 = 45^\\circ",[577,1792,1794,1841,1859],{"className":1793,"ariaHidden":608},[607],[577,1795,1797,1800,1803,1832,1835,1838],{"className":1796},[612],[577,1798],{"className":1799,"style":692},[616],[577,1801,696],{"className":1802},[621],[577,1804,1806,1809],{"className":1805},[621],[577,1807,703],{"className":1808},[621],[577,1810,1812],{"className":1811},[707],[577,1813,1815],{"className":1814},[711],[577,1816,1818],{"className":1817},[715],[577,1819,1821],{"className":1820,"style":692},[719],[577,1822,1823,1826],{"style":722},[577,1824],{"className":1825,"style":727},[726],[577,1827,1829],{"className":1828},[731,732,733,734],[577,1830,679],{"className":1831},[738,734],[577,1833],{"className":1834,"style":837},[836],[577,1836,1106],{"className":1837},[841],[577,1839],{"className":1840,"style":837},[836],[577,1842,1844,1847,1850,1853,1856],{"className":1843},[612],[577,1845],{"className":1846,"style":1005},[616],[577,1848,1778],{"className":1849},[621],[577,1851],{"className":1852,"style":837},[836],[577,1854,800],{"className":1855},[841],[577,1857],{"className":1858,"style":837},[836],[577,1860,1862,1865,1869],{"className":1861},[612],[577,1863],{"className":1864,"style":692},[616],[577,1866,1868],{"className":1867},[621],"4",[577,1870,1872,1876],{"className":1871},[621],[577,1873,1875],{"className":1874},[621],"5",[577,1877,1879],{"className":1878},[707],[577,1880,1882],{"className":1881},[711],[577,1883,1885],{"className":1884},[715],[577,1886,1888],{"className":1887,"style":692},[719],[577,1889,1890,1893],{"style":722},[577,1891],{"className":1892,"style":727},[726],[577,1894,1896],{"className":1895},[731,732,733,734],[577,1897,679],{"className":1898},[738,734],[577,1900,1902],{"className":1901},[781],[577,1903,1905,1989],{"className":1904},[580],[577,1906,1908],{"className":1907},[584],[586,1909,1910],{"xmlns":588,"display":790},[590,1911,1912,1986],{},[593,1913,1914,1916,1918,1932,1934,1936,1938,1940,1942,1944,1946,1952,1954,1965,1967,1973,1975,1978,1980],{},[596,1915,797],{},[677,1917,800],{},[802,1919,1920,1926],{},[670,1921,1922,1924],{},[673,1923,1785],{},[677,1925,679],{},[670,1927,1928,1930],{},[673,1929,675],{},[677,1931,679],{},[677,1933,810],{},[596,1935,1144],{},[677,1937,810],{},[677,1939,1150],{"stretchy":1149},[673,1941,1726],{},[969,1943,971],{},[969,1945,974],{},[670,1947,1948,1950],{},[677,1949,1161],{"stretchy":1149},[673,1951,816],{},[677,1953,800],{},[802,1955,1956,1963],{},[593,1957,1958,1961],{},[673,1959,1960],{},"225",[596,1962,1144],{},[673,1964,1778],{},[969,1966,971],{},[670,1968,1969,1971],{},[969,1970,974],{},[673,1972,816],{},[677,1974,1203],{},[673,1976,1977],{},"88,36",[969,1979,971],{},[670,1981,1982,1984],{},[969,1983,974],{},[673,1985,816],{},[600,1987,1988],{"encoding":602},"A = \\frac{45^\\circ}{360^\\circ} \\cdot \\pi \\cdot (15\\,\\text{cm})^2 = \\frac{225\\pi}{8}\\,\\text{cm}^2 \\approx 88{,}36\\,\\text{cm}^2",[577,1990,1992,2010,2145,2163,2222,2337],{"className":1991,"ariaHidden":608},[607],[577,1993,1995,1998,2001,2004,2007],{"className":1994},[612],[577,1996],{"className":1997,"style":829},[616],[577,1999,797],{"className":2000},[621,622],[577,2002],{"className":2003,"style":837},[836],[577,2005,800],{"className":2006},[841],[577,2008],{"className":2009,"style":837},[836],[577,2011,2013,2016,2136,2139,2142],{"className":2012},[612],[577,2014],{"className":2015,"style":1245},[616],[577,2017,2019,2022,2133],{"className":2018},[621],[577,2020],{"className":2021},[858,859],[577,2023,2025],{"className":2024},[802],[577,2026,2028,2125],{"className":2027},[711,866],[577,2029,2031,2122],{"className":2030},[715],[577,2032,2034,2074,2082],{"className":2033,"style":1264},[719],[577,2035,2036,2039],{"style":876},[577,2037],{"className":2038,"style":880},[726],[577,2040,2042,2045],{"className":2041},[621],[577,2043,696],{"className":2044},[621],[577,2046,2048,2051],{"className":2047},[621],[577,2049,703],{"className":2050},[621],[577,2052,2054],{"className":2053},[707],[577,2055,2057],{"className":2056},[711],[577,2058,2060],{"className":2059},[715],[577,2061,2063],{"className":2062,"style":1294},[719],[577,2064,2065,2068],{"style":1297},[577,2066],{"className":2067,"style":727},[726],[577,2069,2071],{"className":2070},[731,732,733,734],[577,2072,679],{"className":2073},[738,734],[577,2075,2076,2079],{"style":889},[577,2077],{"className":2078,"style":880},[726],[577,2080],{"className":2081,"style":897},[896],[577,2083,2084,2087],{"style":900},[577,2085],{"className":2086,"style":880},[726],[577,2088,2090,2093],{"className":2089},[621],[577,2091,1868],{"className":2092},[621],[577,2094,2096,2099],{"className":2095},[621],[577,2097,1875],{"className":2098},[621],[577,2100,2102],{"className":2101},[707],[577,2103,2105],{"className":2104},[711],[577,2106,2108],{"className":2107},[715],[577,2109,2111],{"className":2110,"style":692},[719],[577,2112,2113,2116],{"style":722},[577,2114],{"className":2115,"style":727},[726],[577,2117,2119],{"className":2118},[731,732,733,734],[577,2120,679],{"className":2121},[738,734],[577,2123,928],{"className":2124},[927],[577,2126,2128],{"className":2127},[715],[577,2129,2131],{"className":2130,"style":935},[719],[577,2132],{},[577,2134],{"className":2135},[941,859],[577,2137],{"className":2138,"style":913},[836],[577,2140,810],{"className":2141},[738],[577,2143],{"className":2144,"style":913},[836],[577,2146,2148,2151,2154,2157,2160],{"className":2147},[612],[577,2149],{"className":2150,"style":1384},[616],[577,2152,1144],{"className":2153,"style":1388},[621,622],[577,2155],{"className":2156,"style":913},[836],[577,2158,810],{"className":2159},[738],[577,2161],{"className":2162,"style":913},[836],[577,2164,2166,2169,2172,2175,2178,2184,2213,2216,2219],{"className":2165},[612],[577,2167],{"className":2168,"style":1404},[616],[577,2170,1150],{"className":2171},[858],[577,2173,1726],{"className":2174},[621],[577,2176],{"className":2177,"style":1012},[836],[577,2179,2181],{"className":2180},[621,1016],[577,2182,974],{"className":2183},[621],[577,2185,2187,2190],{"className":2186},[941],[577,2188,1161],{"className":2189},[941],[577,2191,2193],{"className":2192},[707],[577,2194,2196],{"className":2195},[711],[577,2197,2199],{"className":2198},[715],[577,2200,2202],{"className":2201,"style":1438},[719],[577,2203,2204,2207],{"style":1441},[577,2205],{"className":2206,"style":727},[726],[577,2208,2210],{"className":2209},[731,732,733,734],[577,2211,816],{"className":2212},[621,734],[577,2214],{"className":2215,"style":837},[836],[577,2217,800],{"className":2218},[841],[577,2220],{"className":2221,"style":837},[836],[577,2223,2225,2228,2293,2296,2328,2331,2334],{"className":2224},[612],[577,2226],{"className":2227,"style":1466},[616],[577,2229,2231,2234,2290],{"className":2230},[621],[577,2232],{"className":2233},[858,859],[577,2235,2237],{"className":2236},[802],[577,2238,2240,2282],{"className":2239},[711,866],[577,2241,2243,2279],{"className":2242},[715],[577,2244,2246,2257,2265],{"className":2245,"style":1485},[719],[577,2247,2248,2251],{"style":876},[577,2249],{"className":2250,"style":880},[726],[577,2252,2254],{"className":2253},[621],[577,2255,1778],{"className":2256},[621],[577,2258,2259,2262],{"style":889},[577,2260],{"className":2261,"style":880},[726],[577,2263],{"className":2264,"style":897},[896],[577,2266,2267,2270],{"style":900},[577,2268],{"className":2269,"style":880},[726],[577,2271,2273,2276],{"className":2272},[621],[577,2274,1960],{"className":2275},[621],[577,2277,1144],{"className":2278,"style":1388},[621,622],[577,2280,928],{"className":2281},[927],[577,2283,2285],{"className":2284},[715],[577,2286,2288],{"className":2287,"style":935},[719],[577,2289],{},[577,2291],{"className":2292},[941,859],[577,2294],{"className":2295,"style":1012},[836],[577,2297,2299,2305],{"className":2298},[621],[577,2300,2302],{"className":2301},[621,1016],[577,2303,974],{"className":2304},[621],[577,2306,2308],{"className":2307},[707],[577,2309,2311],{"className":2310},[711],[577,2312,2314],{"className":2313},[715],[577,2315,2317],{"className":2316,"style":1438},[719],[577,2318,2319,2322],{"style":1441},[577,2320],{"className":2321,"style":727},[726],[577,2323,2325],{"className":2324},[731,732,733,734],[577,2326,816],{"className":2327},[621,734],[577,2329],{"className":2330,"style":837},[836],[577,2332,1203],{"className":2333},[841],[577,2335],{"className":2336,"style":837},[836],[577,2338,2340,2343,2347,2353,2356,2359],{"className":2339},[612],[577,2341],{"className":2342,"style":1657},[616],[577,2344,2346],{"className":2345},[621],"88",[577,2348,2350],{"className":2349},[621],[577,2351,1669],{"className":2352},[1668],[577,2354,696],{"className":2355},[621],[577,2357],{"className":2358,"style":1012},[836],[577,2360,2362,2368],{"className":2361},[621],[577,2363,2365],{"className":2364},[621,1016],[577,2366,974],{"className":2367},[621],[577,2369,2371],{"className":2370},[707],[577,2372,2374],{"className":2373},[711],[577,2375,2377],{"className":2376},[715],[577,2378,2380],{"className":2379,"style":1438},[719],[577,2381,2382,2385],{"style":1441},[577,2383],{"className":2384,"style":727},[726],[577,2386,2388],{"className":2387},[731,732,733,734],[577,2389,816],{"className":2390},[621,734],[559,2392,2394],{"id":2393},"typische-fehler","Typische Fehler",[2396,2397,2398,2508,2511],"ul",{},[2399,2400,2401,2402,2441,2442,2507],"li",{},"Mit dem Umfang ",[577,2403,2405,2423],{"className":2404},[580],[577,2406,2408],{"className":2407},[584],[586,2409,2410],{"xmlns":588},[590,2411,2412,2420],{},[593,2413,2414,2416,2418],{},[673,2415,816],{},[596,2417,1144],{},[596,2419,813],{},[600,2421,2422],{"encoding":602},"2\\pi r",[577,2424,2426],{"className":2425,"ariaHidden":608},[607],[577,2427,2429,2432,2435,2438],{"className":2428},[612],[577,2430],{"className":2431,"style":1005},[616],[577,2433,816],{"className":2434},[621],[577,2436,1144],{"className":2437,"style":1388},[621,622],[577,2439,813],{"className":2440,"style":923},[621,622]," statt mit der Fläche ",[577,2443,2445,2465],{"className":2444},[580],[577,2446,2448],{"className":2447},[584],[586,2449,2450],{"xmlns":588},[590,2451,2452,2462],{},[593,2453,2454,2456],{},[596,2455,1144],{},[670,2457,2458,2460],{},[596,2459,813],{},[673,2461,816],{},[600,2463,2464],{"encoding":602},"\\pi r^2",[577,2466,2468],{"className":2467,"ariaHidden":608},[607],[577,2469,2471,2475,2478],{"className":2470},[612],[577,2472],{"className":2473,"style":2474},[616],"height:0.8141em;",[577,2476,1144],{"className":2477,"style":1388},[621,622],[577,2479,2481,2484],{"className":2480},[621],[577,2482,813],{"className":2483,"style":923},[621,622],[577,2485,2487],{"className":2486},[707],[577,2488,2490],{"className":2489},[711],[577,2491,2493],{"className":2492},[715],[577,2494,2496],{"className":2495,"style":2474},[719],[577,2497,2498,2501],{"style":722},[577,2499],{"className":2500,"style":727},[726],[577,2502,2504],{"className":2503},[731,732,733,734],[577,2505,816],{"className":2506},[621,734]," rechnen. Das wäre die Bogenlänge.",[2399,2509,2510],{},"Den Radius nicht quadrieren.",[2399,2512,2513],{},"Den Durchmesser statt des Radius einsetzen.",{"title":2515,"searchDepth":2516,"depth":2516,"links":2517},"",2,[2518,2519,2520],{"id":561,"depth":2516,"text":562},{"id":944,"depth":2516,"text":945},{"id":2393,"depth":2516,"text":2394},[2522,2525,2528,2531,2533,2536],{"lhs":2523,"rhs":2524},"alpha \u002F 360 * pi * r^2","(alpha \u002F 360 * 2 * pi * r) * r \u002F 2",{"lhs":2526,"rhs":2527},"60 \u002F 360 * pi * 6^2","6 * pi",{"lhs":2529,"rhs":2530},"round(6 * pi, 2)","18.85",{"lhs":2532,"rhs":1785},"360 \u002F 8",{"lhs":2534,"rhs":2535},"45 \u002F 360 * pi * 15^2","225 * pi \u002F 8",{"lhs":2537,"rhs":2538},"round(225 * pi \u002F 8, 2)","88.36","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":2544,"x":2545,"y":2548,"items":2549},"Kreissektor mit Mittelpunktswinkel α und Radius r",[2546,2547],-2.6,2.6,[2546,2547],[2550,2556,2561,2570,2575,2579],{"type":2551,"center":2552,"r":2554,"style":2555},"circle",[2553,2553],0,2.2,"muted",{"type":2557,"center":2558,"r":2554,"start":2559,"end":2560},"sector",[2553,2553],15,115,{"type":2562,"at":2563,"from":2564,"to":2567,"label":598},"angle",[2553,2553],[2565,2566],2.125,0.569,[2568,2569],-0.93,1.994,{"type":2571,"at":2572,"text":813},"label",[2573,2574],1.15,-0.05,{"type":2571,"at":2576,"text":797},[2577,2578],0.62,1.4,{"type":2580,"at":2581,"label":2582,"offset":2583},"point",[2553,2553],"M",[2584,2585],-6,16,"\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 249.6 249.6\" width=\"249.6\" height=\"249.6\" role=\"img\" aria-label=\"Kreissektor mit Mittelpunktswinkel α und Radius r\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-circular-sector-area-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-circular-sector-area-clip\">\u003Crect x=\"0\" y=\"0\" width=\"249.6\" height=\"249.6\"\u002F>\u003C\u002FclipPath>\u003C\u002Fdefs>\u003Ccircle cx=\"124.8\" cy=\"124.8\" r=\"105.6\" class=\"fig-muted\"\u002F>\u003Cpath d=\"M 124.8 124.8 L 226.8 97.47 A 105.6 105.6 0 0 0 80.17 29.09 Z\" class=\"fig-main fig-fill\"\u002F>\u003Cpath d=\"M 124.8 124.8 L 146.05 119.11 A 22 22 0 0 0 115.5 104.86 Z\" class=\"fig-angle\"\u002F>\u003Ctext x=\"139.17\" y=\"93.99\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">α\u003C\u002Ftext>\u003Ctext x=\"180\" y=\"127.2\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">r\u003C\u002Ftext>\u003Ctext x=\"154.56\" y=\"57.6\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">A\u003C\u002Ftext>\u003Ccircle cx=\"124.8\" cy=\"124.8\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"118.8\" y=\"140.8\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">M\u003C\u002Ftext>\u003C\u002Fsvg>","circular-sector-area","A = \\frac{\\alpha}{360^\\circ} \\cdot \\pi r^2","\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>A\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>α\u003C\u002Fmi>\u003Cmsup>\u003Cmn>360\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003C\u002Fmfrac>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>π\u003C\u002Fmi>\u003Cmsup>\u003Cmi>r\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A = \\frac{\\alpha}{360^\\circ} \\cdot \\pi r^2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan 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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:0.8641em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">r\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan 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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":813,"meaning":2616,"symbolHtml":2617},"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>","bhZhoY1-WE_6q_M3p8xLZq8WfqoH3Cd7twBLsykX1oQ",[2624,2627,2630],{"stem":2625,"title":2626,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fflaecheninhalt-kreis","Flächeninhalt eines Kreises",{"stem":2628,"title":2629,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fkreisbogen","Länge eines Kreisbogens",{"stem":2631,"title":2632,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fumrechnung-gradmass-bogenmass","Umrechnung Gradmaß in Bogenmaß",1793824268686]