Understanding and applying theorems and properties about circles

What is the area of the shaded region? Leave your answer as an exact value.

• 25π - 50

• 25π - 100

• 5π - 50

• 5π - 100

Find the area of the sector. Round to the nearest tenth.

What is area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express the answer to the nearest tenth of a square unit.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

What is the area of a sector of a circle whose radius is 14 cm and has a central angle of $135\degree$ ? 

•  $\frac{147\pi}{2}\ cm^2$  

•  $\frac{21\pi}{4}\ cm^2$  

•  $\frac{21\pi}{2}\ cm^2$  

•  $\frac{147\pi}{4}\ cm^2$  

Given that the radius is 10 in, what is the sector area of CFD?

• 59.311 in²

• 18.889 in²

• 62.135 in²

• 5.931 in²

Find the area of each shaded sector. Use  $\pi$  key to calculate. Round to the nearest hundredths.

Find the area of the sector, rounding your answer to the nearest tenth.

• 8.9cm²

• 9.0cm²

• 11.4cm²

• 11.3cm²

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.
• 10.5 sq. in.
• 31.4 sq. in.
• 38.2 sq. in.

Find the sector area of the blue piece.

• 10.598 m²

• 2.355 m²

• 4.710 m²

• 7.684 m²

Find the area of the shaded sector. Round to the nearest hundredth.