1. Area of a Polygon

2. • The center of a regular polygon is equidistant
from the vertices.
• The apothem is the distance from the center to
a side.
• A central angle of a regular polygon has its
vertex at the center, and its sides pass through
consecutive vertices.
• Each central angle measure of a regular n-gon is
360˚/n

4. • To find the area of a regular n-gon with side
length s and apothem a, divide it into n
congruent isosceles triangles.
The perimeter is P = ns

5. Example: Find the area of each regular polygon.
Example: Find the area of an equilateral triangle
with an apothem of 2 ft.
Example: Find the area of a regular dodecagon
with a side length of 5 m.

6. Example: Find the central angle measure of each
regular polygon.
a) equilateral triangle b) square c) pentagon
d) Hexagon e) heptagon f) octagon
g) nonagon h) decagon