Geo - 11.4 - Areas of Reg. Polygons and Composite Figures

In the figure, heptagon ABCDEFG is inscribed in Circle P. Identify the center.

• A

• R

• P

• C

In the figure, heptagon ABCDEFG is inscribed in circle P. Identify a radius.

• $\overline{PR}$

• $\overline{GB}$

• $\overline{AE}$

• $\overline{PB}$

In the figure, heptagon ABCDEFG is inscribed in circle P. Identify an apothem.

• $\overline{AB}$

• $\overline{PR}$

• $\overline{PB}$

• $\overline{AD}$

In the figure, heptagon ABCDEFG is inscribed in circle P. Identify a central angle.

• $\angle ABP$

• $\angle BPC$

• $\angle DCP$

• $\angle AEC$

In the figure, heptagon ABCDEFG is inscribed in circle P. Find the measure of a central angle.

• $51.4\degree$

• $120\degree$

• $60\degree$

• $90\degree$

Find the area of the regular polygon. Round to the nearest tenth.

• $20\ m^2$

• $15.6\ m^2$

• $18.7\ m^2$

• $30\ m^2$

Find the area of each regular polygon. Round to the nearest tenth.

• $147\ in^2$

• $156\ in^2$

• $162\ in^2$

• $129\ in^2$

Find the area of each figure. Round to the nearest tenth if necessary.

Kenton's job is to cover the community pool during fall and winter. Since the pool is in the shape of an octagon, he needs to find the area in order to have a custom cover made. If the pool has the dimensions shown, what is the area of the pool?

• $120\ ft^2$

• $90\ ft^2$

• $37\ ft^2$

• $146\ ft\ ^2$

Find the area of each figure. Round to the nearest tenth if necessary.