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GRE Prep Club Team Member
Joined: 20 Feb 2017
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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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04 Mar 2021, 06:15
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. \(10π\)
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
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04 Mar 2021, 07:23
04 Mar 2021, 07:23
1
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. \(10π\)
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
gmatclubot
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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