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

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

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New post 26 Nov 2018, 00:31
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

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

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Location: Canada
Re: If the circumference of a circle is 6, what is the area of the circle?  [#permalink]

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New post 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


Let's first determine the radius

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?
Area = π(radius)²
= π(3/π
= π(9/π²)
= 9/π

Answer: B

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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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