Arc Sector

Find the area of the shaded sector of the circle.

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Tags

CCSS.HSG.C.B.5

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

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CCSS.HSG.C.B.5

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

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CCSS.HSG.C.B.5

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

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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

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle

• arc length of a circle

• sector of a circle

• segment of a circle

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

Tags

CCSS.HSG.C.B.5

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

• 7/4π

• 7/2π

• 1/8π

• 45π

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CCSS.HSG.C.B.5

Find the area of each sector.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

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