Arc Length and Area of Sectors

Find the length of the arc.

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

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

What is the area of the shaded sector?

• 339.12 in²

• 113.04 in²

• 339.29 in²

• None of the above

Tags

CCSS.HSG.C.B.5

The radius of a circle is 7 feet. What is the length of a 180° arc?

• 7 feet

• 180 feet

Tags

CCSS.HSG.C.B.5

The radius of a circle is 10 feet. What is the area of a sector bounded by a 135° arc?

• 135 Square feet

• 10 square feet

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

Tags

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5

• 9

• 8

• 6

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 area of the sector with a measure of 60 degrees and radius of 10in.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

Tags

CCSS.HSG.C.B.5