Area 6: Arc length and Sector of a Circle

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 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 length of the bold arc.

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

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CCSS.HSG.C.B.5

Calculate the LENGTH of arc PX.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

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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 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 area of each sector.

• 52.4 in²
• 18,864 in²
• 60 in2
• 10.47 in

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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

Calculate the AREA of the red sector.

• 353.429 in²

• 1413.717 in²

• 23.562 in²

• 47.124 in²

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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