Area of Sector and Length of Arc

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 SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector

• 173.42 cm²

• 212.06 cm²

• 237.50 cm²

• not enough information

Tags

CCSS.HSG.C.B.5

What is the length L called?

• circumference

• tangent

• arc

• sector

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Tags

CCSS.HSG.C.A.2

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

Tags

CCSS.HSG.C.B.5