6.9 - Arc Length & Sector Area Review

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

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

Calculate the length of the bold arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm

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CCSS.HSG.C.B.5

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

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CCSS.HSG.C.B.5

Find the area of each sector.

• 4248 m²
• 7.9 m²
• 2827.4 m²
• 11.8 m²

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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

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CCSS.HSG.C.B.5

• A
• B
• C
• D

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CCSS.HSG.C.B.5

A circle has a radius of 5 inches. What is the length of an arc that has a central angle of 2π/3 radians?

• 10π/3 inches

• 2π/15 inches

• π/5 inches

• 5π/3 inches

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

A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.

• 1 sq. ft
• 13 sq. ft
• 3 sq. ft
• 26 sq. ft

Tags

CCSS.HSG.C.B.5