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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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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.
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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
Re: Within a circle with radius 12, a sector has an area of 24.
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22 Sep 2025, 11:15
22 Sep 2025, 11:15
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
