Arc Length and Area of Sector Quiz

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 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.

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CCSS.HSG.C.B.5

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft
• 15.8π ft
• 150.4π ft
• 54,150 ft

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CCSS.HSG.C.B.5

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²

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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

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

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CCSS.HSG.C.B.5

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97 mm²
• What's Pacman?
• 39.1 mm²
• 9.77 mm²

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CCSS.HSG.C.B.5

The distance along an arc measured in linear units.

• area of a sector

• arc length

• arc of a circle

• arc measure

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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

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CCSS.HSG.C.B.5