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# The perimeter of a square with a side of length S is equal to the circ

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VP
Joined: 12 Dec 2016
Posts: 1492
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
The perimeter of a square with a side of length S is equal to the circ  [#permalink]

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04 Jan 2018, 02:27
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Difficulty:

25% (medium)

Question Stats:

77% (01:25) correct 23% (01:36) wrong based on 49 sessions

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The perimeter of a square with a side of length S is equal to the circumference of a circle. In terms of S, what is the area of the circle?

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Joined: 02 Sep 2009
Posts: 58381
Re: The perimeter of a square with a side of length S is equal to the circ  [#permalink]

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04 Jan 2018, 02:35
chesstitans wrote:
The perimeter of a square with a side of length S is equal to the circumference of a circle. In terms of S, what is the area of the circle?

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b.JPG

The perimeter of a square with a side of length S is 4S. So, we are told that $$4S=2\pi r$$ for a certain circle.

$$4S=2\pi r$$;

$$r=\frac{2S}{\pi}$$

$$area_{circle} = \pi r^2 = \pi *(\frac{2S}{\pi})^2=\frac{4S^2}{\pi}$$.

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Re: The perimeter of a square with a side of length S is equal to the circ  [#permalink]

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01 Nov 2018, 06:28
1
chesstitans wrote:
The perimeter of a square with a side of length S is equal to the circumference of a circle. In terms of S, what is the area of the circle?

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b.JPG

Dear Moderator,
Found this PS question in the DS section of geometry, hope you will do the needful. Thank you.
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- Stne
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Posts: 58381
Re: The perimeter of a square with a side of length S is equal to the circ  [#permalink]

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01 Nov 2018, 08:06
stne wrote:
chesstitans wrote:
The perimeter of a square with a side of length S is equal to the circumference of a circle. In terms of S, what is the area of the circle?

Attachment:
b.JPG

Dear Moderator,
Found this PS question in the DS section of geometry, hope you will do the needful. Thank you.

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Moved. Thank you.
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Re: The perimeter of a square with a side of length S is equal to the circ   [#permalink] 01 Nov 2018, 08:06
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