Archimedes made pi by using the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series. From the method of exhaustion, he gave a remarkably accurate approximation of pi (3.141593).
The more sides a polygon has, the closer the approximation approaches pi. Pn is the perimeter of a regular polygon with n sides circumscribed around a circle with diameter d.
The formula Archimedes used to calculate pi is: pi equals limits over number of sides to infinity multiplied by the perimeter of a regular polygon divided by the diameter.
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Archimedes made pi more precise
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Archimedes and the Greeks
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Archimedes (287-212 BC) was the first mathematician to make a serious attempt.
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