Arc Length and Sector Area Applications

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 OUTLINED IN BOLD

• A

• B

• C

• D

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

• 26

• 452.39

• 113.10

• 40715.04

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

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Find the area of each sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

Calculate the length of the bold arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm