Arc Length and Sector Review

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.

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Tags

CCSS.HSG.C.B.5

What is the green area called?

• section

• segment

• sector

• arc

Which of the following shows the correct working out when finding the ARC LENGTH of the sector shown in the diagram?

• $\frac{45}{360}\times\left(2\times12\right)$

• $\frac{45}{360}\times\left(2\times\pi\times12\right)$

• $45\times2\times\pi\times12$

• $\frac{360}{45}\times\left(2\times\pi\times12\right)$

What is the ARC LENGTH of the sector shown in the diagram - correct to one decimal place?

• 75.4

• 4.7

• 3.0

• 9.4

What is the ARC LENGTH of the sector shown in the diagram - correct to one decimal place?

• 18.8 yd

• 75.4 yd

• 6.0 yd

• 134.0 yd

What is the PERIMETER of the SECTOR?

• 18.8 yd

• 34.8 yd

• 75.4 yd

• 134.0 yd

What is the area of the shaded green segment? Radius = 8.

• 18.3

• 50.3

• 32

• 12.6