Chapter 11: Measuring Length and Area

11.6.1 Area of Regular Polygons

Apothem and Radius For regular polygons The Radius is a segment with the center and a

vertex as endpoints The Apothem is a segment with the center as an

end point and perpendicular to a side

ApothemRadii

Find the measure of a Central Angle

For each side, there is a central angle, there for the measure of each central angle is where n is the number of sides n

360

Central angle(Isosceles triangle)

Apothem is angle bisectorWhy?

Find the measure of each angle

1

217ft

16ft

8ft

15ft

22 817

64289225

215

3610

360

181m

7218902m

Find the measure of the apothem

12in

6in

458

360

27.5⁰

a

6)5.27tan(

a

)5.27tan(

6a

ina 53.11

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