A regular ngon is a roundish geometric shape with n sides an

//A regular n-gon is a \"roundish\" geometric shape with n sides, and every side is the same length. Examples include triangles, squares, regular pentagons, regular hexagons, et cetera.

//Define the radius of the n-gon to be the distance from the center to one of the vertices of the n-gon. Call it r.

1.) Find the general formula of the area of an n-gon of radius r. You must show your work - simply telling me the formula gives you no points. You should have a two-variable function A(n, r) = stuff with n and r.

2.) What happens if r = 1 and n gets really really big? What number does the area get close to? What will the shape look like?

Solution