AREAS OF REGULAR POLYGONS Geometry. Regular Polygons These are polygons with congruent sides and congruent angles. Apothem: A segment drawn from the center.

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Presentation transcript:

AREAS OF REGULAR POLYGONS Geometry

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.

Example If 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