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

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

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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Source: Beat The GMAT — Problem Solving | Mon Oct 19, 2020 9:12 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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