Dante’s Geometer

Math club, Feb. 13, 2008

Paradise 33:130-145

The measure of the circle …

…is the measure of this triangle -- (Archimedes)

The area of the polygon grows at each step, and approaches the area of the circle A0. If the triangle has less area than the circle, then eventually the polygon has larger area than the triangle.

But the area of the polygon is LESS than (1/2)RC. Its “R” is less, and its “C” is less.

Paradise 33:130-145