consider a circle of radius 1, and corresponding inscribed and circumscribed polygons with the number of sides n = 3, 4, 5, 6, and 8.

Question

A: For each n = 3, 4, 5, 6 & 8, what are the areas of the inscribed and circumscribed polygons with n sides?

Answer 1

For an inscribed n-gon, circle radius is r

A = (r^2 *n sin(2pi/n))/2

For the circumscribed n-gon

A = r^2 *n tan(pi/n)