Arc Length and Area of a Sector 2

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

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

• 7/4π
• 7/2π
• 1/8π
• 45π

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

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CCSS.HSG.C.B.5

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90
• 60
• 55
• 113

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CCSS.HSG.C.B.5

Find the length of the bold arc.

• 61.3ft
• 20.4ft
• 7351.3ft
• 22,068ft

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CCSS.HSG.C.B.5

Find the length of the bold arc.

• 32ft
• 8.6ft
• 60.5ft
• 21,771.2ft

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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

Tags

CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 69.78 ft²
• 2791.11 ft²
• 558.22 ft²
• 697.78 ft²

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CCSS.HSG.C.B.5

What is the length of arc EF?

• 37.68 m
• 18.84 m
• 9.42 m
• None of the above

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CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 598.26 ft²
• 31.49 ft²
• 535.28 ft²
• 2393.03 ft²

Tags

CCSS.HSG.C.B.5