Archimedes determined that the true value of pi
lies between 3.1408 and 3.1428, a remarkable
achievement for a man living over 2,200 years ago.
His method used polygons inscribed in a circle.
Here you can envision some of what he did by
seeing the areas of inscribed polygons approach
the area of the circle as the number of sides increases.
- credit to Guillermo Bautista and his website mathandmultimedia.com