8.4 Areas of Regular Polygons “If I had to live my life again, I’d make the same mistakes, only sooner.” Tallulah Bankhead.

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Presentation transcript:

8.4 Areas of Regular Polygons “If I had to live my life again, I’d make the same mistakes, only sooner.” Tallulah Bankhead

What is a regular polygon? A polygon with all sides and all angles equal.

Investigate! # sides …12…n Area…… Apothem of a regular polygon is a perpendicular segment from the center of the polygon’s circumscribed circle to a side of the polygon Regular Polygon Area Conjecture: The area of a regular polygon is given by the formula _______________ where A is the area, a is the apothem, s is the length of each side, n is the number of sides. The length of each side times the number of sides is the Perimeter P, so sn = P. Thus you can also write the formula for area as A = ___P Investigation Area Formula for Regular Polygons p. 426