# geometry

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consider a circle of radius 1, and corresponding inscribed and circumscribed polygons with the number of sides n = 3, 4, 5, 6, and 8.
A: For each n = 3, 4, 5, 6 & 8, what are the areas of the inscribed and circumscribed polygons with n sides?

• geometry -

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)

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