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9-2 Area of Regular Polygons

9-2 Area of Regular Polygons. The center of a regular polygon is equidistant from its vertices. Radius - the distance from the center to a vertex. Apothem - the distance from the center to a side (must make a 90° angle). radius. apothem. Formula. Area of a regular polygon:

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9-2 Area of Regular Polygons

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  1. 9-2 Area of Regular Polygons The center of a regular polygonis equidistant from its vertices. Radius- the distance from the center to a vertex. Apothem- the distance from the center to a side (must make a 90° angle). radius apothem

  2. Formula • Area of a regular polygon: where a = apothem and P = Perimeter

  3. Example • What is the area of a regular octagon with side length s = 5 and apothem a = 2.

  4. 360÷5= 72° • What is the area of a regular pentagon if the length of each side is 4 inches? 4 in a a 2 in 2 in 2 in 2 in 36° a 2 in

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