Estimation of PIE

Estimation of Π By Ziad Saliba The reason that Pi lies between the firm fields of a circumscribed polygon and an inscribed polygon is quite wide in essence, because a circle is a polygon with un countable sides. So when we have our circle with a radius of one, the area of the circle becomes Pi. With polygons inscribing and circumscribing the circle we can slang that if we raise the number of sides the area will get close and walk-to(prenominal) to Pi. In the picture higher up we see a hexagon circumscribed and a circle inscribed into a hexagon. Pi is the area of the circle, composition the larger hexagon has an area slightly above then Pi and the smaller one slightly under. As we add sides we puzzle out each shape closer to having infinite sides, closer to a circle, and in turn convey their areas closer together theoretically meeting at Pi. To watch the area of circumscribed n-sided polygon and the area of an insc ribed n-sided polygon, we claim to different formulas. The following diagrams head the methods I used to become both formulas, and in the snuff it diagram they are prove on a open square. 35.19615242365.39867% 31.29903810658.65033% 103.2491969623.42515% 102.9389262616.45107% 203.1676888060.83067% 203.0901699441.

63684% 303.1531270580.36715% 303.1186753620.72948% 403.1480682730.20613% 403.1286893010.41073% 503.1457333630.13180% 503.1333308390.26298% 603.1444667570.09149% 603.1358538980.18267% 703.1437036250.06719% 703.1373758120.13423% 803.1432085610.05144% 803.1383638290.10278% 903.1428692540.040 64% 903.1390413180.08121% 1003.1426266040.0! 3291% 1003.1395259760.06578% one hundred ten3.14244710.02720% 1103.1398845970.05437% 1203.1423105880.02285% 1203. cxl1573750.04569% 1303.142204360.01947% 1303.1403696690.03893% 1403.1421200770.01679% 1403.1405381250.03357% 1503.1420520860.01462% 1503.140674030.02924% 1603.1419964430.01285%...If you wish to get a full essay, order it on our website: OrderCustomPaper.com

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