Arc Length and Sector Area

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 angle RUN

• 47

• 74

• 94

• 123

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CCSS.HSG.C.B.5

If the length of the 45° arc on this circle is 10pi inches, what is the radius of the circle?

• 1.6in

• 3in

• 40

• 12

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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

Find the area of the shaded sector of the circle.

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• 
• 
• 

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CCSS.HSG.C.B.5

Calculate the area of the sector.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

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CCSS.HSG.C.B.5

Calculate the area of the sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

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CCSS.HSG.C.B.5

Calculate the area of the sector.

• 52.3 in²

• 18,864 in²

• 60 in2

• 10.47 in

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CCSS.HSG.C.B.5

Calculate the length of the bold arc.

• 61.3 ft

• 20.4 ft

• 7351.3 ft

• 22,068 ft

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CCSS.HSG.C.B.5

Calculate the length of the bold arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm

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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