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# If the circumference of a circle is 6, what is the area of the circle?

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
If the circumference of a circle is 6, what is the area of the circle?  [#permalink]

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26 Nov 2018, 00:31
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Difficulty:

35% (medium)

Question Stats:

65% (00:49) correct 35% (00:52) wrong based on 29 sessions

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If the circumference of a circle is 6, what is the area of the circle?

A. 6/π^2
B. 9/π
C. 6π
D. 9π
E. 36π

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Joined: 12 Sep 2015
Posts: 3716
Re: If the circumference of a circle is 6, what is the area of the circle?  [#permalink]

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02 Dec 2018, 10:28
Top Contributor
Bunuel wrote:
If the circumference of a circle is 6, what is the area of the circle?

A. 6/π^2
B. 9/π
C. 6π
D. 9π
E. 36π

The circumference of a circle is 6
Circumference = 2πr
So: 2πr = 6
Solve to get: r = 6/(2π)
Simplify: r = 3/π

What is the area of the circle?
= π(3/π
= π(9/π²)
= 9/π

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Re: If the circumference of a circle is 6, what is the area of the circle?   [#permalink] 02 Dec 2018, 10:28
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