Arc Length / Area of a Sector / Degrees to Radians

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 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 ARC LENGTH OF THE BOLDED ARC

• 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

A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.

• 1 sq. ft
• 13 sq. ft
• 3 sq. ft
• 26 sq. ft

Tags

CCSS.HSG.C.B.5

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

• 50.27
• 3015.93
• 8.38
• 4.19

Tags

CCSS.HSG.C.B.5

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

• 1.26
• 452.39
• 113.10
• 40715.04

Tags

CCSS.HSG.C.B.5

Find the area of each sector. Leave pi in your answer.

• 24.5π in
• 171.5 in
• 171.5π in²
• 61,740π in²

Tags

CCSS.HSG.C.B.5

Find the area of each sector. Leave pi in your answer.

• 61,440π ft²
• 170. 7π ft²
• 21.3π ft²
• 7680π ft²

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