Approximating Pi with Inscribed Polygons

An n-sided regular polygon can be broken up into n equally-sized triangles; the area of the polygon is simply the area of one triangle multiplied by the number of triangles (n). By increasing the number of sides of the regular polygon, it begins to approximate a circle. Thus, a good approximation to the area of a circle can be found by simply finding the area of a single triangle!

Archimedes originally used a similar method over 2200 years ago to calculate the value of π to two decimal places.