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# If the number of square units in the area of circle С is twice the num

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Manager
Joined: 10 Feb 2011
Posts: 107
If the number of square units in the area of circle С is twice the num  [#permalink]

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09 Mar 2011, 08:16
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Difficulty:

55% (hard)

Question Stats:

61% (01:25) correct 39% (01:34) wrong based on 96 sessions

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If the number of square units in the area of circle С is twice the number of linear units in the circumference of C, what is the number of square units in the area?

(A) 4
(B) 8
(C) 4pi
(D) 8pi
(E) 16pi
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Joined: 02 Sep 2009
Posts: 55271
Re: If the number of square units in the area of circle С is twice the num  [#permalink]

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09 Mar 2011, 08:52
banksy wrote:
252. If the number of square units in the area of circle С is twice the number of linear units in the circumference of C, what is the number of square units in the area?
(A) 4
(B) 8
(C) 4pi
(D) 8pi
(E) 16pi

Given: $$area=\pi{r^2}=x$$ and $$circumference=2\pi{r}=\frac{x}{2}$$. Question: $$x=?$$

$$\pi{r^2}=2*2\pi{r}$$ --> $$r=4$$ --> $$area=\pi{r^2}=16\pi=x$$.

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Re: If the number of square units in the area of circle С is twice the num  [#permalink]

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29 Nov 2018, 17:31
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Re: If the number of square units in the area of circle С is twice the num   [#permalink] 29 Nov 2018, 17:31
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