The Method of Exhaustion: Polygons and the Circle
This GeoGebra demonstration illustrates the method of exhaustion by comparing the areas of a circle with those of regular polygons inscribed in and circumscribed about it. For a fixed radius r and number of sides n, the area of the inscribed polygon provides a lower bound, while the area of the circumscribed polygon provides an upper bound for the area of the circle. As n increases, both polygonal areas approach the circle’s area.