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Within a circle with radius 12, a sector has an area of 24π.
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20 Sep 2018, 16:24
20 Sep 2018, 16:24
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Question Stats:
72% (00:50) correct
27% (01:28) wrong based on 62 sessions
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Within a circle with radius 12, a sector has an area of \(24\pi\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The measure of the central angle of the sector, in degrees |
\(90\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Within a circle with radius 12, a sector has an area of 24π.
[#permalink]
14 Jan 2020, 06:58
14 Jan 2020, 06:58
Formula: Area of Sector with center angle θ is given by \(\frac{θ}{360} * \pi r ^2\)
Given that area of sector = \(24\pi\) and radius = 12 we have
=> \(24\pi\) = \(\frac{θ}{360} * \pi 12 ^2\)
=> \(θ = 360 * \frac{24}{ 12^2}\)
=> θ = 60 degree
Quantity B (90) > Quantity A(60)
So, Answer is B
Hope it helps!
Watch the following video to Learn Basics of Circles
Given that area of sector = \(24\pi\) and radius = 12 we have
=> \(24\pi\) = \(\frac{θ}{360} * \pi 12 ^2\)
=> \(θ = 360 * \frac{24}{ 12^2}\)
=> θ = 60 degree
Quantity B (90) > Quantity A(60)
So, Answer is B
Hope it helps!
Watch the following video to Learn Basics of Circles
gmatclubot
Within a circle with radius 12, a sector has an area of 24π. [#permalink]
14 Jan 2020, 06:58
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