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# A circular mat with diameter 20 inches is placed on a square

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Intern
Joined: 08 Nov 2008
Posts: 38
A circular mat with diameter 20 inches is placed on a square [#permalink]

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11 Dec 2008, 14:26
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?

A. 5/12
B. 2/5
C. 1/2
D. 3/4
E. 5/6
Senior Manager
Joined: 30 Nov 2008
Posts: 482
Schools: Fuqua
Re: mat [#permalink]

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12 Dec 2008, 13:52
I would go with C 1/2.

Area of the cirlce = Pi * r ^ 2 = 3.14 * 10 * 10 where 10 is the radius.
Area of the sqare = 24 * 24

faction of table mat to the table is ( 3.14 * 10 * 10) / 24 * 24 = 314 / 576 which is approximately 1 / 2
Re: mat   [#permalink] 12 Dec 2008, 13:52
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# A circular mat with diameter 20 inches is placed on a square

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