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20 Dec 2012, 06:43
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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92% (01:01) correct
8%
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wrong
based on 1661
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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) \(64\pi\)
Attachment:
Circle.png [ 12.22 KiB | Viewed 42515 times ]
20 Dec 2012, 06:48
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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.
General Discussion
26 Apr 2016, 15:15
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\(Radius of total garden\) = 8 + 3 = 11 \(feet\)
\(Area of flower bed including path\) = \(\pi\)\(11^2\)
\(Area of flower bed\) = \(\pi\) \(8^2\)
\(Area of only path\) = 57\(\pi\) sq.feet
\(correct answer\) - D
\(Area of flower bed including path\) = \(\pi\)\(11^2\)
\(Area of flower bed\) = \(\pi\) \(8^2\)
\(Area of only path\) = 57\(\pi\) sq.feet
\(correct answer\) - D
