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The letter π The constant is named "π" because it is the first letter of the Greek words: περιφέρεια = periphery περιφέρεια = periphery περίμετρος = perimeter περίμετρος = perimeter

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Definition In Euclidean plane geometry, π is defined as the ratio of a circle's circumference to its diameter. π = c/d = c/2r

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Calculating π π can be empirically measured by drawing a large circle, then measuring its diameter and circumference, since the circumference of a circle is always π times its diameter. π can also be calculated using purely mathematical methods

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Principle of Archimedes' method to approximate π n=5 n=6 n=8

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ninscribed polygondescribed polygon 32,5980762115,196152423 42,8284271254 52,9389262613,63271264 633,464101615 73,0371861743,371022332 83,0614674593,313708499 93,078181293,275732108 103,0901699443,249196962 113,0990581253,229891422 123,1058285413,215390309 133,1111036363,204212219 143,1152930753,195408641 153,1186753623,188348425 163,1214451523,182597878 173,1237418033,177850751 183,1256671983,173885653 193,1272972153,170539238 203,1286893013,167688806 213,129887593,165240713 223,1309264423,163122468......... Infinit e ππ

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a few excitements... In 2002 Kanada and fellow researchers at Japan's Information Technology Center set a new record for finding the number of digits of π 1.24 trillion decimal places. This calculation took about 602 hours. Chao Lu of China recited π on 67,890 decimal places on 20 November 2005. Rose Hare is the youngest person to make the Pi World Ranking List (age: 3 years 356 days) Math lovers celebrate March 14 (or "3-14") as Pi Day. The theory of elliptic curves and complex multiplication derives the approximation which is valid to about 30 digits.

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Euler's formula. Leonhard Euler Euler was one of the most popular mathematicians of all time. He made important breakthroughs in fields such as calculus.

Euler's formula. Leonhard Euler Euler was one of the most popular mathematicians of all time. He made important breakthroughs in fields such as calculus.

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