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After a one-piece circular tablecloth of maximum possible area was cut
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Bunuel
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After a one-piece circular tablecloth of maximum possible area was cut [#permalink] New post  23 May 2020, 07:37
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After a one-piece circular tablecloth of maximum possible area was cut from a rectangular piece of material, what was the number of square inches of material that remained?

(1) The piece of material was 48 inches wide and 56 inches long before the tablecloth was cut.
(2) The radius of the tablecloth was 24 inches.


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nick1816
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Re: After a one-piece circular tablecloth of maximum possible area was cut [#permalink] New post  23 May 2020, 09:41
To maximize the area of the circle, diameter of the cloth = d = min(a,b) , where a and b are the sides of the rectangular piece

Area of remaining portion = \(a*b - \frac{\pi*d^2}{4 }\)

Statement 1=

We know a and b; hence we can find d.

Sufficient

Statement 2-

We know d; hence we can find the shorter side of the rectangle. We have no idea about the longer side.

Insufficient
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Re: After a one-piece circular tablecloth of maximum possible area was cut [#permalink]
23 May 2020, 09:41
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