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Approximation de Pi

Archimedes Approximation


Since Antiquity, scholars have known that the perimeter of a circle is in a constant ratio to its diameter. While the Babylonians admitted that this ratio is 3, the Egyptians identified it as . Archimedes was the first mathematician to calculate an approximate value of the number , from regular polygons of n sides inscribed and circumscribed in a circle. In this worksheet, I reproduced several diagrams, so we can figure out the approximation.