Sector Area and Arc Length

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

• 52.4 in²

• 18,864 in²

• 60 in²

• 10.5 in

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

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

What is the area of the shaded sector? Round to the nearest tenth.

• 339.3 in²

• 113.0 in²

• 56.5 in²

• None of the above

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Round to the nearest tenth.

• 9.2 in²

• 10.5 in²

• 31.4 in²

• 38.2 in²

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Match the answers to the following problems.

• Problem 1

• Problem 4

• Problem 3

• Problem 2

What is the area of the shaded region? Round to the nearest hundredth.

• 1.26 un²

• 452.39 un²

• 113.10 un²

• 40715.04 un²

Find the area of the sector outlined in bold. Round to the nearest tenth.

• A

• B

• C

• D

Find the arc length of the bolded arc. Round to the nearest tenth.

• A

• B

• C

• D

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69