the apothem of a regular polygon is the distance from the center of the polygon to a side. Explaiin how to derive a formula for the area of a regular polygon using the apothem.

Answer 1

Well, that apothem seems to be the altitude of one of n triangles.
The area of each of those triangles is
(1/2)* apothem * length of a side
so the total area would be
(n/2)*apothem * length of a side