David P. Robbins, Areas of Polygons Inscribed in a Circle, The American Mathematical Monthly, Vol. 102, No. 6 (Jun. - Jul., 1995), pp. 523-530 ...

Approximating Pi Non-interactive version Infinite Secrets homepage Archimedes determined the upper and lower range of pi by finding the perimeters of inscribed and circumscribed polygons.

0 0 This article was originally published with the title “To Inscribe a Polygon within a Circle” in SA Supplements Vol. 18 No. 444supp (July 1884), p. 7094 ...

What the heck is so regular about a regular polygon? Above is a regular nonagon inscribed within a circle. The shaded region has an area of 2874.296608 square meters.

It finds an approximation of pi by determining the length of the perimeter of a polygon inscribed within a circle (which is less than the circumference of the circle) and the perimeter of a ...