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# What is the area of a circle whose circumference is x?

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
What is the area of a circle whose circumference is x?  [#permalink]

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05 Feb 2019, 02:57
00:00

Difficulty:

25% (medium)

Question Stats:

81% (00:56) correct 19% (01:17) wrong based on 26 sessions

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What is the area of a circle whose circumference is x?

A. $$\frac{x^2}{4\pi}$$

B. $$\frac{x^2}{2\pi}$$

C. $$\frac{x}{4\pi}$$

D. $$\frac{x}{2\pi}$$

E. $$2\sqrt{\pi x}$$

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Joined: 09 Mar 2018
Posts: 1001
Location: India
Re: What is the area of a circle whose circumference is x?  [#permalink]

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05 Feb 2019, 03:07
Bunuel wrote:
What is the area of a circle whose circumference is x?

A. $$\frac{x^2}{4\pi}$$

B. $$\frac{x^2}{2\pi}$$

C. $$\frac{x}{4\pi}$$

D. $$\frac{x}{2\pi}$$

E. $$2\sqrt{\pi x}$$

IMO A

Circumference =$$2 \pi r$$ = x
r = x \ $$2 \pi$$

Area = $$\pi$$ $$r^2$$
= $$\frac{x^2}{4\pi}$$
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Re: What is the area of a circle whose circumference is x?  [#permalink]

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05 Feb 2019, 05:36
Bunuel wrote:
What is the area of a circle whose circumference is x?

A. $$\frac{x^2}{4\pi}$$

B. $$\frac{x^2}{2\pi}$$

C. $$\frac{x}{4\pi}$$

D. $$\frac{x}{2\pi}$$

E. $$2\sqrt{\pi x}$$

2* pi * r = x
r= x/2pi
pi * r^2
pi * x^2/4pi
IMO A
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Joined: 04 Mar 2017
Posts: 7
Re: What is the area of a circle whose circumference is x?  [#permalink]

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05 Feb 2019, 07:51
I would say this is an easy question in GMAT
Re: What is the area of a circle whose circumference is x?   [#permalink] 05 Feb 2019, 07:51
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