Sunday, July 29, 2012

Approximating Pi

Move slider n to the right and observe what happens to the inscribed polygon.
This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to
By Guillermo Bautista Jr. , Created with GeoGebra

The applet above shows the relationship between the area of a circle and the inscribed polygon.  Notice that as the the number of sides of the inscribed polygon (n) increases, its area gets closer and closer to the area of the circle which is equal to .  This approximation is called the method of exhaustion. It was developed used by Archimedes.

Note: If you do not see the applet above, download and install Java