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

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Presentation transcript:

Area of Regular Polygons January 27, 2010

Objectives Learn the formula for the area of regular polygons

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

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

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

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)

Try this one - square

Try this one - hexagon