The graphic below shows a square with sides of length 2 containing a circle with a radius of 1. The area of the square is 4 and the area of the circle is 3.141592654 (sound familiar?!). The ratio of the area of the circle to the area of the square is 0.785398163 which is π / 4.

A while ago I wrote an article on estimating pi using various formulae, and in this post I will use the circle-within-a-square ratio illustrated above to run a stochastic simulation in Python to estimate a value of π.

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