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The figure above shows a circular flower bed, with its cente

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The figure above shows a circular flower bed, with its cente [#permalink] New post 20 Dec 2012, 05:43
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93% (01:41) correct 7% (00:40) wrong based on 226 sessions
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The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

(A) 25\pi
(B) 38\pi
(C) 55\pi
(D) 57\pi
(E) 64\pi
[Reveal] Spoiler: OA
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Re: The figure above shows a circular flower bed, with its cente [#permalink] New post 20 Dec 2012, 05:48
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The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

(A) 25\pi
(B) 38\pi
(C) 55\pi
(D) 57\pi
(E) 64\pi

The radius of the bigger circle is 8 + 3 = 11 feet, thus its area is \pi{r^2}=121\pi.

The area of the smaller circle is \pi{8^2}=64\pi.

The difference is 121\pi-64\pi=57\pi.

Answer: D.
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Re: The figure above shows a circular flower bed, with its cente   [#permalink] 20 Dec 2012, 05:48
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