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Within a circle with radius 12, a sector has an area of 24π.

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Within a circle with radius 12, a sector has an area of 24π. [#permalink] New post 20 Sep 2018, 16:24
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Question Stats:

83% (00:32) correct 16% (00:59) wrong based on 18 sessions
Within a circle with radius 12, a sector has an area of \(24\pi\).

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.
[Reveal] Spoiler: OA

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Re: Within a circle with radius 12, a sector has an area of 24π. [#permalink] New post 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!

sandy wrote:
Within a circle with radius 12, a sector has an area of \(24\pi\).

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.

_________________

Ankit

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Re: Within a circle with radius 12, a sector has an area of 24π.   [#permalink] 14 Jan 2020, 06:58
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Within a circle with radius 12, a sector has an area of 24π.

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