The length of the radius of the inscribed circle of a regular n-gon is called the apothem of the n-gon. Prove that the area, A, of a regular n-gon can be computed using the following formula: A = aP/2...

The length of the radius of the inscribed circle of a regular n-gon is called the apothem of the n-gon. Prove that the area, A, of a regular n-gon can be computed using the following formula: A = aP/2 , where a represents the apothem and P the perimeter of the regular n-gon.