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# What is the area of a circular region that has circumference 8π?

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What is the area of a circular region that has circumference 8π?  [#permalink]

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27 Nov 2017, 23:28
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15% (low)

Question Stats:

90% (00:23) correct 10% (00:47) wrong based on 45 sessions

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What is the area of a circular region that has circumference 8π?

(A) 4π
(B) 8π
(C) 16π
(D) 32π
(E) 64π

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Re: What is the area of a circular region that has circumference 8π?  [#permalink]

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28 Nov 2017, 00:23
C

Radius of the circle = 8.pi/(2.pi)

Hence area = pi.4^2
=16.pi

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What is the area of a circular region that has circumference 8π?  [#permalink]

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28 Nov 2017, 16:57
Bunuel wrote:
What is the area of a circular region that has circumference 8π?

(A) 4π
(B) 8π
(C) 16π
(D) 32π
(E) 64π

Circumference = 2πr
2πr = 8π
r = 4

Area = $$πr^2 = 16π$$

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Re: What is the area of a circular region that has circumference 8π?  [#permalink]

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29 Nov 2017, 18:16
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Bunuel wrote:
What is the area of a circular region that has circumference 8π?

(A) 4π
(B) 8π
(C) 16π
(D) 32π
(E) 64π

Since the circumference of a circle is given by C = 2πr, we can create the equation:

8π = 2πr

4 = r

So the area is π x 4^2 = 16π.

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Re: What is the area of a circular region that has circumference 8π? &nbs [#permalink] 29 Nov 2017, 18:16
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