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Winkel muss im ",[567,1141,1142],{},"Bogenmaß"," eingesetzt werden. Im Gradmaß lautet die Formel ",[583,1145,1147,1207],{"className":1146},[586],[583,1148,1150],{"className":1149},[590],[592,1151,1152],{"xmlns":594},[596,1153,1154,1204],{},[599,1155,1156,1159,1161,1171],{},[602,1157,1158],{},"A",[665,1160,680],{},[651,1162,1163,1169],{},[671,1164,1165,1167],{},[602,1166,675],{},[658,1168,660],{},[658,1170,660],{},[599,1172,1173,1176,1192,1195,1197,1199,1201],{},[665,1174,1175],{"fence":614},"(",[651,1177,1178,1184],{},[599,1179,1180,1182],{},[602,1181,663],{},[602,1183,604],{},[671,1185,1186,1189],{},[658,1187,1188],{},"180",[665,1190,1191],{},"∘",[665,1193,1194],{},"−",[602,1196,1006],{},[665,1198,1009],{},[602,1200,604],{},[665,1202,1203],{"fence":614},")",[606,1205,1206],{"encoding":608},"A = \\frac{r^2}{2}\\left(\\frac{\\pi \\alpha}{180^\\circ} - \\sin \\alpha\\right)",[583,1208,1210,1229],{"className":1209,"ariaHidden":614},[613],[583,1211,1213,1217,1220,1223,1226],{"className":1212},[618],[583,1214],{"className":1215,"style":1216},[622],"height:0.6833em;",[583,1218,1158],{"className":1219},[627,628],[583,1221],{"className":1222,"style":858},[803],[583,1224,680],{"className":1225},[862],[583,1227],{"className":1228,"style":858},[803],[583,1230,1232,1236,1330,1333],{"className":1231},[618],[583,1233],{"className":1234,"style":1235},[622],"height:1.3679em;vertical-align:-0.35em;",[583,1237,1239,1242,1327],{"className":1238},[627],[583,1240],{"className":1241},[712,713],[583,1243,1245],{"className":1244},[651],[583,1246,1248,1319],{"className":1247},[720,721],[583,1249,1251,1316],{"className":1250},[725],[583,1252,1254,1268,1276],{"className":1253,"style":891},[729],[583,1255,1256,1259],{"style":733},[583,1257],{"className":1258,"style":738},[737],[583,1260,1262],{"className":1261},[742,743,744,745],[583,1263,1265],{"className":1264},[627,745],[583,1266,660],{"className":1267},[627,745],[583,1269,1270,1273],{"style":758},[583,1271],{"className":1272,"style":738},[737],[583,1274],{"className":1275,"style":766},[765],[583,1277,1278,1281],{"style":769},[583,1279],{"className":1280,"style":738},[737],[583,1282,1284],{"className":1283},[742,743,744,745],[583,1285,1287],{"className":1286},[627,745],[583,1288,1290,1293],{"className":1289},[627,745],[583,1291,675],{"className":1292,"style":828},[627,628,745],[583,1294,1296],{"className":1295},[832],[583,1297,1299],{"className":1298},[720],[583,1300,1302],{"className":1301},[725],[583,1303,1305],{"className":1304,"style":943},[729],[583,1306,1307,1310],{"style":946},[583,1308],{"className":1309,"style":950},[737],[583,1311,1313],{"className":1312},[742,954,955,745],[583,1314,660],{"className":1315},[627,745],[583,1317,786],{"className":1318},[785],[583,1320,1322],{"className":1321},[725],[583,1323,1325],{"className":1324,"style":793},[729],[583,1326],{},[583,1328],{"className":1329},[799,713],[583,1331],{"className":1332,"style":1126},[803],[583,1334,1337,1346,1450,1453,1456,1459,1462,1465,1468],{"className":1335},[1336],"minner",[583,1338,1342],{"className":1339,"style":1341},[712,1340],"delimcenter","top:0em;",[583,1343,1175],{"className":1344},[1345,955],"delimsizing",[583,1347,1349,1352,1447],{"className":1348},[627],[583,1350],{"className":1351},[712,713],[583,1353,1355],{"className":1354},[651],[583,1356,1358,1439],{"className":1357},[720,721],[583,1359,1361,1436],{"className":1360},[725],[583,1362,1364,1411,1419],{"className":1363,"style":730},[729],[583,1365,1366,1369],{"style":733},[583,1367],{"className":1368,"style":738},[737],[583,1370,1372],{"className":1371},[742,743,744,745],[583,1373,1375,1379],{"className":1374},[627,745],[583,1376,1378],{"className":1377},[627,745],"18",[583,1380,1382,1386],{"className":1381},[627,745],[583,1383,1385],{"className":1384},[627,745],"0",[583,1387,1389],{"className":1388},[832],[583,1390,1392],{"className":1391},[720],[583,1393,1395],{"className":1394},[725],[583,1396,1399],{"className":1397,"style":1398},[729],"height:0.6035em;",[583,1400,1402,1405],{"style":1401},"top:-2.786em;margin-right:0.0714em;",[583,1403],{"className":1404,"style":950},[737],[583,1406,1408],{"className":1407},[742,954,955,745],[583,1409,1191],{"className":1410},[808,745],[583,1412,1413,1416],{"style":758},[583,1414],{"className":1415,"style":738},[737],[583,1417],{"className":1418,"style":766},[765],[583,1420,1421,1424],{"style":769},[583,1422],{"className":1423,"style":738},[737],[583,1425,1427],{"className":1426},[742,743,744,745],[583,1428,1430,1433],{"className":1429},[627,745],[583,1431,663],{"className":1432,"style":755},[627,628,745],[583,1434,604],{"className":1435,"style":629},[627,628,745],[583,1437,786],{"className":1438},[785],[583,1440,1442],{"className":1441},[725],[583,1443,1445],{"className":1444,"style":793},[729],[583,1446],{},[583,1448],{"className":1449},[799,713],[583,1451],{"className":1452,"style":804},[803],[583,1454,1194],{"className":1455},[808],[583,1457],{"className":1458,"style":804},[803],[583,1460,1006],{"className":1461},[1130],[583,1463],{"className":1464,"style":1126},[803],[583,1466,604],{"className":1467,"style":629},[627,628],[583,1469,1471],{"className":1470,"style":1341},[799,1340],[583,1472,1203],{"className":1473},[1345,955],".",[563,1476,1477,1478,1531,1532,1596],{},"Die Formel gilt auch für ",[583,1479,1481,1500],{"className":1480},[586],[583,1482,1484],{"className":1483},[590],[592,1485,1486],{"xmlns":594},[596,1487,1488,1497],{},[599,1489,1490,1492,1495],{},[602,1491,604],{},[665,1493,1494],{},">",[602,1496,663],{},[606,1498,1499],{"encoding":608},"\\alpha > \\pi",[583,1501,1503,1522],{"className":1502,"ariaHidden":614},[613],[583,1504,1506,1510,1513,1516,1519],{"className":1505},[618],[583,1507],{"className":1508,"style":1509},[622],"height:0.5782em;vertical-align:-0.0391em;",[583,1511,604],{"className":1512,"style":629},[627,628],[583,1514],{"className":1515,"style":858},[803],[583,1517,1494],{"className":1518},[862],[583,1520],{"className":1521,"style":858},[803],[583,1523,1525,1528],{"className":1524},[618],[583,1526],{"className":1527,"style":623},[622],[583,1529,663],{"className":1530,"style":755},[627,628],", also für das größere Segment. Dann ist ",[583,1533,1535,1558],{"className":1534},[586],[583,1536,1538],{"className":1537},[590],[592,1539,1540],{"xmlns":594},[596,1541,1542,1555],{},[599,1543,1544,1546,1548,1550,1553],{},[602,1545,1006],{},[665,1547,1009],{},[602,1549,604],{},[665,1551,1552],{},"\u003C",[658,1554,1385],{},[606,1556,1557],{"encoding":608},"\\sin \\alpha \u003C 0",[583,1559,1561,1586],{"className":1560,"ariaHidden":614},[613],[583,1562,1564,1568,1571,1574,1577,1580,1583],{"className":1563},[618],[583,1565],{"className":1566,"style":1567},[622],"height:0.707em;vertical-align:-0.0391em;",[583,1569,1006],{"className":1570},[1130],[583,1572],{"className":1573,"style":1126},[803],[583,1575,604],{"className":1576,"style":629},[627,628],[583,1578],{"className":1579,"style":858},[803],[583,1581,1552],{"className":1582},[862],[583,1584],{"className":1585,"style":858},[803],[583,1587,1589,1593],{"className":1588},[618],[583,1590],{"className":1591,"style":1592},[622],"height:0.6444em;",[583,1594,1385],{"className":1595},[627],", und das Dreieck wird automatisch addiert.",[563,1598,1599,1600,1474],{},"Die Länge der Sehne ist ",[583,1601,1603,1634],{"className":1602},[586],[583,1604,1606],{"className":1605},[590],[592,1607,1608],{"xmlns":594},[596,1609,1610,1631],{},[599,1611,1612,1615,1617,1619,1621,1623,1625],{},[602,1613,1614],{},"s",[665,1616,680],{},[658,1618,660],{},[602,1620,675],{},[602,1622,1006],{},[665,1624,1009],{},[651,1626,1627,1629],{},[602,1628,604],{},[658,1630,660],{},[606,1632,1633],{"encoding":608},"s = 2r \\sin \\frac{\\alpha}{2}",[583,1635,1637,1655],{"className":1636,"ariaHidden":614},[613],[583,1638,1640,1643,1646,1649,1652],{"className":1639},[618],[583,1641],{"className":1642,"style":623},[622],[583,1644,1614],{"className":1645},[627,628],[583,1647],{"className":1648,"style":858},[803],[583,1650,680],{"className":1651},[862],[583,1653],{"className":1654,"style":858},[803],[583,1656,1658,1661,1664,1667,1670,1673,1676],{"className":1657},[618],[583,1659],{"className":1660,"style":705},[622],[583,1662,660],{"className":1663},[627],[583,1665,675],{"className":1666,"style":828},[627,628],[583,1668],{"className":1669,"style":1126},[803],[583,1671,1006],{"className":1672},[1130],[583,1674],{"className":1675,"style":1126},[803],[583,1677,1679,1682,1741],{"className":1678},[627],[583,1680],{"className":1681},[712,713],[583,1683,1685],{"className":1684},[651],[583,1686,1688,1733],{"className":1687},[720,721],[583,1689,1691,1730],{"className":1690},[725],[583,1692,1694,1708,1716],{"className":1693,"style":730},[729],[583,1695,1696,1699],{"style":733},[583,1697],{"className":1698,"style":738},[737],[583,1700,1702],{"className":1701},[742,743,744,745],[583,1703,1705],{"className":1704},[627,745],[583,1706,660],{"className":1707},[627,745],[583,1709,1710,1713],{"style":758},[583,1711],{"className":1712,"style":738},[737],[583,1714],{"className":1715,"style":766},[765],[583,1717,1718,1721],{"style":769},[583,1719],{"className":1720,"style":738},[737],[583,1722,1724],{"className":1723},[742,743,744,745],[583,1725,1727],{"className":1726},[627,745],[583,1728,604],{"className":1729,"style":629},[627,628,745],[583,1731,786],{"className":1732},[785],[583,1734,1736],{"className":1735},[725],[583,1737,1739],{"className":1738,"style":793},[729],[583,1740],{},[583,1742],{"className":1743},[799,713],[558,1745,1747],{"id":1746},"beispiele","Beispiele",[563,1749,1750,1751,1820,1821,1977],{},"Kreis mit ",[583,1752,1754,1780],{"className":1753},[586],[583,1755,1757],{"className":1756},[590],[592,1758,1759],{"xmlns":594},[596,1760,1761,1777],{},[599,1762,1763,1765,1767,1770,1774],{},[602,1764,675],{},[665,1766,680],{},[658,1768,1769],{},"6",[1771,1772,1773],"mtext",{}," ",[1771,1775,1776],{},"cm",[606,1778,1779],{"encoding":608},"r = 6\\,\\text{cm}",[583,1781,1783,1801],{"className":1782,"ariaHidden":614},[613],[583,1784,1786,1789,1792,1795,1798],{"className":1785},[618],[583,1787],{"className":1788,"style":623},[622],[583,1790,675],{"className":1791,"style":828},[627,628],[583,1793],{"className":1794,"style":858},[803],[583,1796,680],{"className":1797},[862],[583,1799],{"className":1800,"style":858},[803],[583,1802,1804,1807,1810,1813],{"className":1803},[618],[583,1805],{"className":1806,"style":1592},[622],[583,1808,1769],{"className":1809},[627],[583,1811],{"className":1812,"style":1126},[803],[583,1814,1817],{"className":1815},[627,1816],"text",[583,1818,1776],{"className":1819},[627],", Mittelpunktswinkel ",[583,1822,1824,1851],{"className":1823},[586],[583,1825,1827],{"className":1826},[590],[592,1828,1829],{"xmlns":594},[596,1830,1831,1848],{},[599,1832,1833,1840,1842],{},[671,1834,1835,1838],{},[658,1836,1837],{},"90",[665,1839,1191],{},[665,1841,680],{},[651,1843,1844,1846],{},[602,1845,663],{},[658,1847,660],{},[606,1849,1850],{"encoding":608},"90^\\circ = \\frac{\\pi}{2}",[583,1852,1854,1903],{"className":1853,"ariaHidden":614},[613],[583,1855,1857,1861,1865,1894,1897,1900],{"className":1856},[618],[583,1858],{"className":1859,"style":1860},[622],"height:0.6741em;",[583,1862,1864],{"className":1863},[627],"9",[583,1866,1868,1871],{"className":1867},[627],[583,1869,1385],{"className":1870},[627],[583,1872,1874],{"className":1873},[832],[583,1875,1877],{"className":1876},[720],[583,1878,1880],{"className":1879},[725],[583,1881,1883],{"className":1882,"style":1860},[729],[583,1884,1885,1888],{"style":844},[583,1886],{"className":1887,"style":848},[737],[583,1889,1891],{"className":1890},[742,743,744,745],[583,1892,1191],{"className":1893},[808,745],[583,1895],{"className":1896,"style":858},[803],[583,1898,680],{"className":1899},[862],[583,1901],{"className":1902,"style":858},[803],[583,1904,1906,1909],{"className":1905},[618],[583,1907],{"className":1908,"style":705},[622],[583,1910,1912,1915,1974],{"className":1911},[627],[583,1913],{"className":1914},[712,713],[583,1916,1918],{"className":1917},[651],[583,1919,1921,1966],{"className":1920},[720,721],[583,1922,1924,1963],{"className":1923},[725],[583,1925,1927,1941,1949],{"className":1926,"style":730},[729],[583,1928,1929,1932],{"style":733},[583,1930],{"className":1931,"style":738},[737],[583,1933,1935],{"className":1934},[742,743,744,745],[583,1936,1938],{"className":1937},[627,745],[583,1939,660],{"className":1940},[627,745],[583,1942,1943,1946],{"style":758},[583,1944],{"className":1945,"style":738},[737],[583,1947],{"className":1948,"style":766},[765],[583,1950,1951,1954],{"style":769},[583,1952],{"className":1953,"style":738},[737],[583,1955,1957],{"className":1956},[742,743,744,745],[583,1958,1960],{"className":1959},[627,745],[583,1961,663],{"className":1962,"style":755},[627,628,745],[583,1964,786],{"className":1965},[785],[583,1967,1969],{"className":1968},[725],[583,1970,1972],{"className":1971,"style":793},[729],[583,1973],{},[583,1975],{"className":1976},[799,713],":",[583,1979,1982],{"className":1980},[1981],"katex-display",[583,1983,1985,2049],{"className":1984},[586],[583,1986,1988],{"className":1987},[590],[592,1989,1991],{"xmlns":594,"display":1990},"block",[596,1992,1993,2046],{},[599,1994,1995,1997,1999,2006,2022,2024,2026,2028,2030,2032,2035,2038,2040],{},[602,1996,1158],{},[665,1998,680],{},[651,2000,2001,2004],{},[658,2002,2003],{},"36",[658,2005,660],{},[599,2007,2008,2010,2016,2018,2020],{},[665,2009,1175],{"fence":614},[651,2011,2012,2014],{},[602,2013,663],{},[658,2015,660],{},[665,2017,1194],{},[658,2019,995],{},[665,2021,1203],{"fence":614},[665,2023,680],{},[658,2025,1864],{},[602,2027,663],{},[665,2029,1194],{},[658,2031,1378],{},[665,2033,2034],{},"≈",[658,2036,2037],{},"10,27",[1771,2039,1773],{},[671,2041,2042,2044],{},[1771,2043,1776],{},[658,2045,660],{},[606,2047,2048],{"encoding":608},"A = \\frac{36}{2} \\left(\\frac{\\pi}{2} - 1\\right) = 9\\pi - 18 \\approx 10{,}27\\,\\text{cm}^2",[583,2050,2052,2070,2246,2268,2286],{"className":2051,"ariaHidden":614},[613],[583,2053,2055,2058,2061,2064,2067],{"className":2054},[618],[583,2056],{"className":2057,"style":1216},[622],[583,2059,1158],{"className":2060},[627,628],[583,2062],{"className":2063,"style":858},[803],[583,2065,680],{"className":2066},[862],[583,2068],{"className":2069,"style":858},[803],[583,2071,2073,2077,2143,2146,2237,2240,2243],{"className":2072},[618],[583,2074],{"className":2075,"style":2076},[622],"height:2.0074em;vertical-align:-0.686em;",[583,2078,2080,2083,2140],{"className":2079},[627],[583,2081],{"className":2082},[712,713],[583,2084,2086],{"className":2085},[651],[583,2087,2089,2131],{"className":2088},[720,721],[583,2090,2092,2128],{"className":2091},[725],[583,2093,2096,2108,2116],{"className":2094,"style":2095},[729],"height:1.3214em;",[583,2097,2099,2102],{"style":2098},"top:-2.314em;",[583,2100],{"className":2101,"style":738},[737],[583,2103,2105],{"className":2104},[627],[583,2106,660],{"className":2107},[627],[583,2109,2110,2113],{"style":758},[583,2111],{"className":2112,"style":738},[737],[583,2114],{"className":2115,"style":766},[765],[583,2117,2119,2122],{"style":2118},"top:-3.677em;",[583,2120],{"className":2121,"style":738},[737],[583,2123,2125],{"className":2124},[627],[583,2126,2003],{"className":2127},[627],[583,2129,786],{"className":2130},[785],[583,2132,2134],{"className":2133},[725],[583,2135,2138],{"className":2136,"style":2137},[729],"height:0.686em;",[583,2139],{},[583,2141],{"className":2142},[799,713],[583,2144],{"className":2145,"style":1126},[803],[583,2147,2149,2156,2219,2222,2225,2228,2231],{"className":2148},[1336],[583,2150,2152],{"className":2151,"style":1341},[712,1340],[583,2153,1175],{"className":2154},[1345,2155],"size2",[583,2157,2159,2162,2216],{"className":2158},[627],[583,2160],{"className":2161},[712,713],[583,2163,2165],{"className":2164},[651],[583,2166,2168,2208],{"className":2167},[720,721],[583,2169,2171,2205],{"className":2170},[725],[583,2172,2175,2186,2194],{"className":2173,"style":2174},[729],"height:1.1076em;",[583,2176,2177,2180],{"style":2098},[583,2178],{"className":2179,"style":738},[737],[583,2181,2183],{"className":2182},[627],[583,2184,660],{"className":2185},[627],[583,2187,2188,2191],{"style":758},[583,2189],{"className":2190,"style":738},[737],[583,2192],{"className":2193,"style":766},[765],[583,2195,2196,2199],{"style":2118},[583,2197],{"className":2198,"style":738},[737],[583,2200,2202],{"className":2201},[627],[583,2203,663],{"className":2204,"style":755},[627,628],[583,2206,786],{"className":2207},[785],[583,2209,2211],{"className":2210},[725],[583,2212,2214],{"className":2213,"style":2137},[729],[583,2215],{},[583,2217],{"className":2218},[799,713],[583,2220],{"className":2221,"style":804},[803],[583,2223,1194],{"className":2224},[808],[583,2226],{"className":2227,"style":804},[803],[583,2229,995],{"className":2230},[627],[583,2232,2234],{"className":2233,"style":1341},[799,1340],[583,2235,1203],{"className":2236},[1345,2155],[583,2238],{"className":2239,"style":858},[803],[583,2241,680],{"className":2242},[862],[583,2244],{"className":2245,"style":858},[803],[583,2247,2249,2253,2256,2259,2262,2265],{"className":2248},[618],[583,2250],{"className":2251,"style":2252},[622],"height:0.7278em;vertical-align:-0.0833em;",[583,2254,1864],{"className":2255},[627],[583,2257,663],{"className":2258,"style":755},[627,628],[583,2260],{"className":2261,"style":804},[803],[583,2263,1194],{"className":2264},[808],[583,2266],{"className":2267,"style":804},[803],[583,2269,2271,2274,2277,2280,2283],{"className":2270},[618],[583,2272],{"className":2273,"style":1592},[622],[583,2275,1378],{"className":2276},[627],[583,2278],{"className":2279,"style":858},[803],[583,2281,2034],{"className":2282},[862],[583,2284],{"className":2285,"style":858},[803],[583,2287,2289,2293,2297,2305,2309,2312],{"className":2288},[618],[583,2290],{"className":2291,"style":2292},[622],"height:1.0585em;vertical-align:-0.1944em;",[583,2294,2296],{"className":2295},[627],"10",[583,2298,2300],{"className":2299},[627],[583,2301,2304],{"className":2302},[2303],"mpunct",",",[583,2306,2308],{"className":2307},[627],"27",[583,2310],{"className":2311,"style":1126},[803],[583,2313,2315,2321],{"className":2314},[627],[583,2316,2318],{"className":2317},[627,1816],[583,2319,1776],{"className":2320},[627],[583,2322,2324],{"className":2323},[832],[583,2325,2327],{"className":2326},[720],[583,2328,2330],{"className":2329},[725],[583,2331,2334],{"className":2332,"style":2333},[729],"height:0.8641em;",[583,2335,2337,2340],{"style":2336},"top:-3.113em;margin-right:0.05em;",[583,2338],{"className":2339,"style":848},[737],[583,2341,2343],{"className":2342},[742,743,744,745],[583,2344,660],{"className":2345},[627,745],[563,2347,2348,2349,2503],{},"Die zugehörige Sehne ist ",[583,2350,2352,2391],{"className":2351},[586],[583,2353,2355],{"className":2354},[590],[592,2356,2357],{"xmlns":594},[596,2358,2359,2388],{},[599,2360,2361,2363,2365,2368,2370,2372,2379,2381,2384,2386],{},[602,2362,1614],{},[665,2364,680],{},[658,2366,2367],{},"12",[602,2369,1006],{},[665,2371,1009],{},[671,2373,2374,2377],{},[658,2375,2376],{},"45",[665,2378,1191],{},[665,2380,2034],{},[658,2382,2383],{},"8,49",[1771,2385,1773],{},[1771,2387,1776],{},[606,2389,2390],{"encoding":608},"s = 12 \\sin 45^\\circ \\approx 8{,}49\\,\\text{cm}",[583,2392,2394,2412,2473],{"className":2393,"ariaHidden":614},[613],[583,2395,2397,2400,2403,2406,2409],{"className":2396},[618],[583,2398],{"className":2399,"style":623},[622],[583,2401,1614],{"className":2402},[627,628],[583,2404],{"className":2405,"style":858},[803],[583,2407,680],{"className":2408},[862],[583,2410],{"className":2411,"style":858},[803],[583,2413,2415,2418,2421,2424,2427,2430,2434,2464,2467,2470],{"className":2414},[618],[583,2416],{"className":2417,"style":1860},[622],[583,2419,2367],{"className":2420},[627],[583,2422],{"className":2423,"style":1126},[803],[583,2425,1006],{"className":2426},[1130],[583,2428],{"className":2429,"style":1126},[803],[583,2431,2433],{"className":2432},[627],"4",[583,2435,2437,2441],{"className":2436},[627],[583,2438,2440],{"className":2439},[627],"5",[583,2442,2444],{"className":2443},[832],[583,2445,2447],{"className":2446},[720],[583,2448,2450],{"className":2449},[725],[583,2451,2453],{"className":2452,"style":1860},[729],[583,2454,2455,2458],{"style":844},[583,2456],{"className":2457,"style":848},[737],[583,2459,2461],{"className":2460},[742,743,744,745],[583,2462,1191],{"className":2463},[808,745],[583,2465],{"className":2466,"style":858},[803],[583,2468,2034],{"className":2469},[862],[583,2471],{"className":2472,"style":858},[803],[583,2474,2476,2480,2484,2490,2494,2497],{"className":2475},[618],[583,2477],{"className":2478,"style":2479},[622],"height:0.8389em;vertical-align:-0.1944em;",[583,2481,2483],{"className":2482},[627],"8",[583,2485,2487],{"className":2486},[627],[583,2488,2304],{"className":2489},[2303],[583,2491,2493],{"className":2492},[627],"49",[583,2495],{"className":2496,"style":1126},[803],[583,2498,2500],{"className":2499},[627,1816],[583,2501,1776],{"className":2502},[627]," lang.",[563,2505,1750,2506,2570,2571,1977],{},[583,2507,2509,2531],{"className":2508},[586],[583,2510,2512],{"className":2511},[590],[592,2513,2514],{"xmlns":594},[596,2515,2516,2528],{},[599,2517,2518,2520,2522,2524,2526],{},[602,2519,675],{},[665,2521,680],{},[658,2523,2296],{},[1771,2525,1773],{},[1771,2527,1776],{},[606,2529,2530],{"encoding":608},"r = 10\\,\\text{cm}",[583,2532,2534,2552],{"className":2533,"ariaHidden":614},[613],[583,2535,2537,2540,2543,2546,2549],{"className":2536},[618],[583,2538],{"className":2539,"style":623},[622],[583,2541,675],{"className":2542,"style":828},[627,628],[583,2544],{"className":2545,"style":858},[803],[583,2547,680],{"className":2548},[862],[583,2550],{"className":2551,"style":858},[803],[583,2553,2555,2558,2561,2564],{"className":2554},[618],[583,2556],{"className":2557,"style":1592},[622],[583,2559,2296],{"className":2560},[627],[583,2562],{"className":2563,"style":1126},[803],[583,2565,2567],{"className":2566},[627,1816],[583,2568,1776],{"className":2569},[627],", ",[583,2572,2574,2606],{"className":2573},[586],[583,2575,2577],{"className":2576},[590],[592,2578,2579],{"xmlns":594},[596,2580,2581,2603],{},[599,2582,2583,2585,2587,2594,2596],{},[602,2584,604],{},[665,2586,680],{},[671,2588,2589,2592],{},[658,2590,2591],{},"60",[665,2593,1191],{},[665,2595,680],{},[651,2597,2598,2600],{},[602,2599,663],{},[658,2601,2602],{},"3",[606,2604,2605],{"encoding":608},"\\alpha = 60^\\circ = \\frac{\\pi}{3}",[583,2607,2609,2627,2674],{"className":2608,"ariaHidden":614},[613],[583,2610,2612,2615,2618,2621,2624],{"className":2611},[618],[583,2613],{"className":2614,"style":623},[622],[583,2616,604],{"className":2617,"style":629},[627,628],[583,2619],{"className":2620,"style":858},[803],[583,2622,680],{"className":2623},[862],[583,2625],{"className":2626,"style":858},[803],[583,2628,2630,2633,2636,2665,2668,2671],{"className":2629},[618],[583,2631],{"className":2632,"style":1860},[622],[583,2634,1769],{"className":2635},[627],[583,2637,2639,2642],{"className":2638},[627],[583,2640,1385],{"className":2641},[627],[583,2643,2645],{"className":2644},[832],[583,2646,2648],{"className":2647},[720],[583,2649,2651],{"className":2650},[725],[583,2652,2654],{"className":2653,"style":1860},[729],[583,2655,2656,2659],{"style":844},[583,2657],{"className":2658,"style":848},[737],[583,2660,2662],{"className":2661},[742,743,744,745],[583,2663,1191],{"className":2664},[808,745],[583,2666],{"className":2667,"style":858},[803],[583,2669,680],{"className":2670},[862],[583,2672],{"className":2673,"style":858},[803],[583,2675,2677,2680],{"className":2676},[618],[583,2678],{"className":2679,"style":705},[622],[583,2681,2683,2686,2745],{"className":2682},[627],[583,2684],{"className":2685},[712,713],[583,2687,2689],{"className":2688},[651],[583,2690,2692,2737],{"className":2691},[720,721],[583,2693,2695,2734],{"className":2694},[725],[583,2696,2698,2712,2720],{"className":2697,"style":730},[729],[583,2699,2700,2703],{"style":733},[583,2701],{"className":2702,"style":738},[737],[583,2704,2706],{"className":2705},[742,743,744,745],[583,2707,2709],{"className":2708},[627,745],[583,2710,2602],{"className":2711},[627,745],[583,2713,2714,2717],{"style":758},[583,2715],{"className":2716,"style":738},[737],[583,2718],{"className":2719,"style":766},[765],[583,2721,2722,2725],{"style":769},[583,2723],{"className":2724,"style":738},[737],[583,2726,2728],{"className":2727},[742,743,744,745],[583,2729,2731],{"className":2730},[627,745],[583,2732,663],{"className":2733,"style":755},[627,628,745],[583,2735,786],{"className":2736},[785],[583,2738,2740],{"className":2739},[725],[583,2741,2743],{"className":2742,"style":793},[729],[583,2744],{},[583,2746],{"className":2747},[799,713],[583,2749,2751],{"className":2750},[1981],[583,2752,2754,2810],{"className":2753},[586],[583,2755,2757],{"className":2756},[590],[592,2758,2759],{"xmlns":594,"display":1990},[596,2760,2761,2807],{},[599,2762,2763,2765,2767,2770,2794,2796,2799,2801],{},[602,2764,1158],{},[665,2766,680],{},[658,2768,2769],{},"50",[599,2771,2772,2774,2780,2782,2784,2786,2792],{},[665,2773,1175],{"fence":614},[651,2775,2776,2778],{},[602,2777,663],{},[658,2779,2602],{},[665,2781,1194],{},[602,2783,1006],{},[665,2785,1009],{},[671,2787,2788,2790],{},[658,2789,2591],{},[665,2791,1191],{},[665,2793,1203],{"fence":614},[665,2795,2034],{},[658,2797,2798],{},"9,06",[1771,2800,1773],{},[671,2802,2803,2805],{},[1771,2804,1776],{},[658,2806,660],{},[606,2808,2809],{"encoding":608},"A = 50 \\left(\\frac{\\pi}{3} - \\sin 60^\\circ\\right) \\approx 9{,}06\\,\\text{cm}^2",[583,2811,2813,2831,2978],{"className":2812,"ariaHidden":614},[613],[583,2814,2816,2819,2822,2825,2828],{"className":2815},[618],[583,2817],{"className":2818,"style":1216},[622],[583,2820,1158],{"className":2821},[627,628],[583,2823],{"className":2824,"style":858},[803],[583,2826,680],{"className":2827},[862],[583,2829],{"className":2830,"style":858},[803],[583,2832,2834,2838,2841,2844,2969,2972,2975],{"className":2833},[618],[583,2835],{"className":2836,"style":2837},[622],"height:1.836em;vertical-align:-0.686em;",[583,2839,2769],{"className":2840},[627],[583,2842],{"className":2843,"style":1126},[803],[583,2845,2847,2853,2915,2918,2921,2924,2927,2930,2933,2963],{"className":2846},[1336],[583,2848,2850],{"className":2849,"style":1341},[712,1340],[583,2851,1175],{"className":2852},[1345,2155],[583,2854,2856,2859,2912],{"className":2855},[627],[583,2857],{"className":2858},[712,713],[583,2860,2862],{"className":2861},[651],[583,2863,2865,2904],{"className":2864},[720,721],[583,2866,2868,2901],{"className":2867},[725],[583,2869,2871,2882,2890],{"className":2870,"style":2174},[729],[583,2872,2873,2876],{"style":2098},[583,2874],{"className":2875,"style":738},[737],[583,2877,2879],{"className":2878},[627],[583,2880,2602],{"className":2881},[627],[583,2883,2884,2887],{"style":758},[583,2885],{"className":2886,"style":738},[737],[583,2888],{"className":2889,"style":766},[765],[583,2891,2892,2895],{"style":2118},[583,2893],{"className":2894,"style":738},[737],[583,2896,2898],{"className":2897},[627],[583,2899,663],{"className":2900,"style":755},[627,628],[583,2902,786],{"className":2903},[785],[583,2905,2907],{"className":2906},[725],[583,2908,2910],{"className":2909,"style":2137},[729],[583,2911],{},[583,2913],{"className":2914},[799,713],[583,2916],{"className":2917,"style":804},[803],[583,2919,1194],{"className":2920},[808],[583,2922],{"className":2923,"style":804},[803],[583,2925,1006],{"className":2926},[1130],[583,2928],{"className":2929,"style":1126},[803],[583,2931,1769],{"className":2932},[627],[583,2934,2936,2939],{"className":2935},[627],[583,2937,1385],{"className":2938},[627],[583,2940,2942],{"className":2941},[832],[583,2943,2945],{"className":2944},[720],[583,2946,2948],{"className":2947},[725],[583,2949,2952],{"className":2950,"style":2951},[729],"height:0.7241em;",[583,2953,2954,2957],{"style":2336},[583,2955],{"className":2956,"style":848},[737],[583,2958,2960],{"className":2959},[742,743,744,745],[583,2961,1191],{"className":2962},[808,745],[583,2964,2966],{"className":2965,"style":1341},[799,1340],[583,2967,1203],{"className":2968},[1345,2155],[583,2970],{"className":2971,"style":858},[803],[583,2973,2034],{"className":2974},[862],[583,2976],{"className":2977,"style":858},[803],[583,2979,2981,2984,2987,2993,2997,3000],{"className":2980},[618],[583,2982],{"className":2983,"style":2292},[622],[583,2985,1864],{"className":2986},[627],[583,2988,2990],{"className":2989},[627],[583,2991,2304],{"className":2992},[2303],[583,2994,2996],{"className":2995},[627],"06",[583,2998],{"className":2999,"style":1126},[803],[583,3001,3003,3009],{"className":3002},[627],[583,3004,3006],{"className":3005},[627,1816],[583,3007,1776],{"className":3008},[627],[583,3010,3012],{"className":3011},[832],[583,3013,3015],{"className":3014},[720],[583,3016,3018],{"className":3017},[725],[583,3019,3021],{"className":3020,"style":2333},[729],[583,3022,3023,3026],{"style":2336},[583,3024],{"className":3025,"style":848},[737],[583,3027,3029],{"className":3028},[742,743,744,745],[583,3030,660],{"className":3031},[627,745],[558,3033,3035],{"id":3034},"typische-fehler","Typische Fehler",[632,3037,3038,3136,3139],{},[635,3039,3040,3041,3135],{},"Den Winkel im Gradmaß einsetzen, z.B. ",[583,3042,3044,3070],{"className":3043},[586],[583,3045,3047],{"className":3046},[590],[592,3048,3049],{"xmlns":594},[596,3050,3051,3067],{},[599,3052,3053,3055,3057,3059,3061],{},[658,3054,1837],{},[665,3056,1194],{},[602,3058,1006],{},[665,3060,1009],{},[671,3062,3063,3065],{},[658,3064,1837],{},[665,3066,1191],{},[606,3068,3069],{"encoding":608},"90 - \\sin 90^\\circ",[583,3071,3073,3091],{"className":3072,"ariaHidden":614},[613],[583,3074,3076,3079,3082,3085,3088],{"className":3075},[618],[583,3077],{"className":3078,"style":2252},[622],[583,3080,1837],{"className":3081},[627],[583,3083],{"className":3084,"style":804},[803],[583,3086,1194],{"className":3087},[808],[583,3089],{"className":3090,"style":804},[803],[583,3092,3094,3097,3100,3103,3106],{"className":3093},[618],[583,3095],{"className":3096,"style":1860},[622],[583,3098,1006],{"className":3099},[1130],[583,3101],{"className":3102,"style":1126},[803],[583,3104,1864],{"className":3105},[627],[583,3107,3109,3112],{"className":3108},[627],[583,3110,1385],{"className":3111},[627],[583,3113,3115],{"className":3114},[832],[583,3116,3118],{"className":3117},[720],[583,3119,3121],{"className":3120},[725],[583,3122,3124],{"className":3123,"style":1860},[729],[583,3125,3126,3129],{"style":844},[583,3127],{"className":3128,"style":848},[737],[583,3130,3132],{"className":3131},[742,743,744,745],[583,3133,1191],{"className":3134},[808,745],". Ohne Umrechnung entsteht ein viel zu großer Wert.",[635,3137,3138],{},"Den Taschenrechner beim Sinus im falschen Modus haben: Gradwinkel im DEG-Modus, Bogenmaß im RAD-Modus.",[635,3140,3141],{},"Sektor und Segment verwechseln. 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>r\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">r\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:0.0278em;\">r\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":609,"meaning":3363,"symbolHtml":3364},"Mittelpunktswinkel über der Sehne, im Bogenmaß","\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 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