AREA OF SECTOR AND SEGMENT

FIND THE ARC LENGTH OF THE BOLDED ARC

• A
• B
• C
• D

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

• 7/4π
• 7/2π
• 1/8π
• 45π

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

What is the length of the blue arc?

• 45⁰
• 3.9 mi
• 5.9 mi
• 7.9 mi

Tags

CCSS.HSG.C.B.5

What is the length of the green arc?

• 1.6 mi
• 6.3 mi
• 3.1 mi
• 12.6 mi

Tags

CCSS.HSG.C.B.5

What is the area of the blue shaded sector?

• 18.9 cm²
• 56.5 cm²
• 113.1 cm²
• 14.1 cm²

Tags

CCSS.HSG.C.B.5

What is the area of the yellow shaded sector?

• 23.6 m²
• 11.8 m²
• 62.8 m²
• 117.8 m²

Tags

CCSS.HSG.C.B.5

What is the area of the pink shaded segment?

• 10.6 m²
• 13.8 m²
• 30.7 m²
• 41.3 m²

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

The shaded regions include...

• two sectors and a circle

• two segments and a circle

• a diamond and a circle

• two sectors and a diamond