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chesstitans
Joined: 12 Dec 2016
Last visit: 20 Nov 2019
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Location: United States
Schools: Stanford '19 Carroll '19 LBS '19
GMAT 1: 700 Q49 V33
GPA: 3.64
04 Jan 2018, 02:27
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D
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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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04 Jan 2018, 02:35
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chesstitans
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.
\(4S=2\pi r\);
\(r=\frac{2S}{\pi}\)
\(area_{circle} = \pi r^2 = \pi *(\frac{2S}{\pi})^2=\frac{4S^2}{\pi}\).
Answer: D.
