# Wagon Wheel Approximation of Pi

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Let there be spokes of a wagon wheel. We only need to deal with the upper half of a unit circle. Divide the semicircle vertically into evenly spaced segments using bars.

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Contributed by: Robert L. Brown (March 2011)

Open content licensed under CC BY-NC-SA

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## Details

This Demonstration leads to one of the many beautiful expressions for :

,

(from the French mathematician Viète, 1593).

This formula comes from the cosine half-angle formula, which yields

,

,

, and so on.

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