Notes 76: 11.6 Areas of Regular Polygons

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Presentation transcript:

Notes 76: 11.6 Areas of Regular Polygons

THEOREM 11.11: AREA OF A REGULAR POLYGON The area of a regular n-gon with side length s is half the product of the apothem, a, and the perimeter, P, so A = 1 2 aP, or A = 1 2 aP

Find angle measures in a regular polygon In the diagram, ABCDEF is a regular hexagon inscribed in G. Find each angle measure. m  EGF m  EGH c. m  HEG

Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. 15 sides 32 sides

A regular octagon has a radius of 11. 5 inches A regular octagon has a radius of 11.5 inches. What is the length of its apothem? Round your answer to the nearest tenth.

Find the area of a regular polygon A wooden coaster is a regular octagon with 3 centimeter sides and a radius of about 3.92 centimeters. What is the area of the coaster?

Find the perimeter and area of a regular polygon A regular nonagon is inscribed in a circle with radius 5 units. Find the perimeter P and area A of the nonagon.

Find the area of the shaded region Find the area of the shaded region. Round answers to the nearest tenth, if necessary

Find the area of the shaded region Find the area of the shaded region. Round answers to the nearest tenth, if necessary