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

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Bunuel
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What is the area of a circular region that has circumference 8π? [#permalink] New post   27 Nov 2017, 23:28
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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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C
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Re: What is the area of a circular region that has circumference 8π? [#permalink] New post   28 Nov 2017, 00:23
C

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

Radius =4

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


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What is the area of a circular region that has circumference 8π? [#permalink] New post   28 Nov 2017, 16:57
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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

Circumference = 2πr
2πr = 8π
r = 4

Area = \(πr^2 = 16π\)

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

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