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A sector has an area of 40π and a radius of 10. What is the arc length

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GeminiHeat
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A sector has an area of 40π and a radius of 10. What is the arc length [#permalink] New post   04 Mar 2021, 06:15
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A sector has an area of \(40π\) and a radius of 10. What is the arc length of the sector?

A. \(2π\)

B. \(3π\)

C. \(5π\)

D. \(8π\)

E. \(10π\)
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A sector has an area of 40π and a radius of 10. What is the arc length [#permalink] New post   04 Mar 2021, 07:23
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GeminiHeat wrote:
A sector has an area of \(40π\) and a radius of 10. What is the arc length of the sector?

A. \(2π\)

B. \(3π\)

C. \(5π\)

D. \(8π\)

E. \(10π\)


Area of Sector \(= \frac{θ}{360}πr^2 = 40π\)

\(\frac{θ}{360}πr = \frac{40π}{r}\)

Arc length \(= \frac{θ}{360}2πr = \frac{(2)(40π)}{r} = 8π\)

Hence, option D
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A sector has an area of 40π and a radius of 10. What is the arc length [#permalink]
04 Mar 2021, 07:23
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