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The area of a circular region is 5π

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The area of a circular region is 5π [#permalink] New post 17 Dec 2017, 12:49
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Question Stats:

84% (00:20) correct 15% (00:19) wrong based on 19 sessions
The area of a circular region is \(5\pi\)

Quantity A
Quantity B
The diameter of the circular region
\(\sqrt{20}\)


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: The area of a circular region is 5π [#permalink] New post 18 Dec 2017, 01:51
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The Area is as follows 5pi
The formula is r^2pi = 5pi
We can divide both sides by pi which leaves us r^2 = 5 so r= root of 5.
The diameter is twice the radii.
2(root of 5) which gives us 4,47 OR Squroot5*4
QB = same quantity
So the two quantities are equal
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Re: The area of a circular region is 5π [#permalink] New post 15 Mar 2018, 16:39
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correct: C
area = \pi * r^2
5\pi = \pi * r^2
r = radical(5)
diemeter = 2r = 2 * radical(5)

B: radical(20) = 2 * radical(5)
So A and B are equal.
Re: The area of a circular region is 5π   [#permalink] 15 Mar 2018, 16:39
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The area of a circular region is 5π

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