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A circle has an area of 16π. What is its circumference?
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19 Sep 2018, 17:35
19 Sep 2018, 17:35
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Question Stats:
98% (00:21) correct
1% (00:08) wrong based on 55 sessions
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A circle has an area of \(16\pi\). What is its circumference?
(A) \(4\pi\)
(B) \(8\pi\)
(C) \(16\pi\)
(D) \(32\pi\)
(E) It cannot be determined from the information given.
(A) \(4\pi\)
(B) \(8\pi\)
(C) \(16\pi\)
(D) \(32\pi\)
(E) It cannot be determined from the information given.
Re: A circle has an area of 16π. What is its circumference?
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02 Jul 2020, 23:03
02 Jul 2020, 23:03
1
Circle area= (Diameter^2 x (\(\pi\)))/4
Circumference = Diameter x (\(\pi\))
So if circle area is \(16\pi\)
(Diameter^2 x (\(\pi\)))/4 = \(16\pi\)
Diameter^2 =64
Diameter =8
Replacing in circumference formula:
Diameter x (\(\pi\)) = \(8\pi\)
Answer: B
Circumference = Diameter x (\(\pi\))
So if circle area is \(16\pi\)
(Diameter^2 x (\(\pi\)))/4 = \(16\pi\)
Diameter^2 =64
Diameter =8
Replacing in circumference formula:
Diameter x (\(\pi\)) = \(8\pi\)
Answer: B
Re: A circle has an area of 16. What is its circumference?
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20 Sep 2022, 16:18
20 Sep 2022, 16:18
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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).
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