Arc Lengths & Area of Sectors

What is the measure of the arc in bold?

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CCSS.HSG.C.B.5

What is the measure of the arc in bold?

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CCSS.HSG.C.B.5

Find the length of the arc.

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

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CCSS.HSG.C.B.5

If JK = 3mm, determine the area of the shaded region.

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CCSS.HSG.C.B.5

Find the area of the shaded sector. Round to the hundredths if necessary. (DON'T WORRY ABOUT TYPING UNIT!)

GH= 11in

(a)  

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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

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

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

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

What is the area of the shaded sector?

• 339.12 in²
• 113.04 in²
• 339.29 in²
• None of the above

Tags

CCSS.HSG.C.B.5