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Area of Regular Polygons January 27, 2010. Objectives Learn the formula for the area of regular polygons.

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Presentation on theme: "Area of Regular Polygons January 27, 2010. Objectives Learn the formula for the area of regular polygons."— Presentation transcript:

1 Area of Regular Polygons January 27, 2010

2 Objectives Learn the formula for the area of regular polygons

3 What is a regular polygon? A regular polygon is a polygon polygons with all sides congruent and all angles congruent

4 How to find the angles measure of a regular polygon INTERIOR ANGLE SUM THEOREM If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S = 180(n- 2). Each angle = S/n

5 What is the apothem? The apothem of a regular polygon is the (perpendicular) distance from the center of the polygon to a side.

6 Finding the area of a regular polygon The area of a regular polygon is equal to half the product of the apothem and the perimeter. A= (1/2)(a)(P)

7 Try this one - square

8 Try this one - hexagon

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