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If the area of a circle is \(64\pi,\) then the diameter of the circle is

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If the area of a circle is \(64\pi,\) then the diameter of the circle is

by Vincen » Mon Oct 19, 2020 9:12 am

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If the area of a circle is \(64\pi,\) then the diameter of the circle is

(A) \(8\)
(B) \(16\)
(C) \(32\)
(D) \(8\pi\)
(E) \(16\pi\)

Answer: B

Source: GMAT Paper Tests
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Re: If the area of a circle is \(64\pi,\) then the diameter of the circle is

by Scott@TargetTestPrep » Tue Oct 27, 2020 10:05 am
Vincen wrote: ↑
Mon Oct 19, 2020 9:12 am
 If the area of a circle is \(64\pi,\) then the diameter of the circle is

(A) \(8\)
(B) \(16\)
(C) \(32\)
(D) \(8\pi\)
(E) \(16\pi\)

Answer: B

Source: GMAT Paper Tests
Solution:

Letting r be the radius of the circle, we have:

πr^2 = 64π

r^2 = 64

r = 8

Since the radius of the circle is 8, the diameter of the circle is 16.

Answer: B

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