You can circumscribe a circle about any regular polygon. The center of the regular polygon is the center of the circle. The distance from the center to a vertex of the regular polygon is the radius of the circle. The perpendicular distance from the center of the regular polygon to the side is called the apothem.
1. Explain how to find the area of an n-gon with apothem a and side length
s.
2. If a is the length of the apothem, P is the perimeter, and
A is the area of the regular polygon, find a formula relating all three of these quantities.
1. Find the area of a regular pentagon with side length 10 cm.
1. Write an equation involving angle A and side lengths c and h. Solve your equation for h.
2. Find the area of the triangle in terms of angle A and side lengths b and c.