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Two plots, one square and the other, circular, were equal in areas.

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Two plots, one square and the other, circular, were equal in areas.  [#permalink]

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New post 24 Jan 2019, 09:32
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Two plots, one square and the other, circular, were equal in areas. If the cost of fencing the square plot and the circular plot were $ 2 per feet and $ 3 per feet respectively, what was the ration of the cost of fencing the square plot to that of the circular plot?

A. Sq root π : 1
B. 4 sq root π : 3
C. 4 : sq root π
D. 3 sq root π : 4
E. 4 : 3 sq root π
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Re: Two plots, one square and the other, circular, were equal in areas.  [#permalink]

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New post 24 Jan 2019, 12:31
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akurathi12 wrote:
Two plots, one square and the other, circular, were equal in areas. If the cost of fencing the square plot and the circular plot were $ 2 per feet and $ 3 per feet respectively, what was the ration of the cost of fencing the square plot to that of the circular plot?

A. Sq root π : 1
B. 4 sq root π : 3
C. 4 : sq root π
D. 3 sq root π : 4
E. 4 : 3 sq root π


for square side 'd' and circle radius 'r'
\(d^2 = π r^2\)
\(d= r\sqrt{π}\)

cost of fencing the square S = \(4d*2\)
cost of fencing the circle C = \(2πr*3\)

ratio of costs = \(\frac{S}{C}\) = \(\frac{4d*2}{2πr*3}\) = \(\frac{4*r\sqrt[]{π}*2}{2πr*3}\) = \(\frac{4}{3\sqrt[]{π}}\)

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Re: Two plots, one square and the other, circular, were equal in areas.   [#permalink] 24 Jan 2019, 12:31
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Two plots, one square and the other, circular, were equal in areas.

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