AREAS OF REGULAR POLYGONSGeometry

Regular Polygons• These are polygons with congruent sides and congruent

angles.

• Apothem: A segment drawn from the center of a regular polygon perpendicular to a side of the polygon.

• Radius: A segment drawn from the center of a regular polygon to a vertex of the polygon.

ExampleIf ABCDEFGH is a regular octagon with center J, name

2 apothems ____________2 radii ________________

Perimeter of a Regular Polygon• The distance around, or P=ns where

• n = number of sides• s = measure of one side

• Example: Find the perimeter of a regular decagon with each side = 6 m.

Area of Regular Polygons

• A = area• P = perimeter• a = apothem

Examples• Find the area of a regular hexagon with perimeter = 36 m.

• Find the area of a regular octagon with radius = 10 in.

Assignment