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19 Aug 2015, 02:44
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A
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Difficulty:
15%
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Question Stats:
82% (01:19) correct
18%
(01:53)
wrong
based on 49
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The length of a rope, by which a cow is tied, is decreased from 22m to 14m. What is the decrease in the area that can be grazed by the cow?
(A) \(288\pi\)
(B) \(144\pi\)
(C) \(200\pi\)
(D) \(120\pi\)
(E) \(72\pi\)
Source : Aristotle Prep
(A) \(288\pi\)
(B) \(144\pi\)
(C) \(200\pi\)
(D) \(120\pi\)
(E) \(72\pi\)
Source : Aristotle Prep
16 Feb 2016, 02:08
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Length of the rope is the radius of the circle.
Decrease in the area grazed by the cow = \(\pi\) (\(22^2\) - \(14^2\))
= (22-14)(22+14)\(\pi\)
= 8(36)\(\pi\)
=288\(\pi\)
Answer: A
Decrease in the area grazed by the cow = \(\pi\) (\(22^2\) - \(14^2\))
= (22-14)(22+14)\(\pi\)
= 8(36)\(\pi\)
=288\(\pi\)
Answer: A
18 Aug 2019, 06:53
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One of the errors that GMAT exam makers want you to make here is confusing radius and diameter
Don't divide the 22m and 14m by two and use that resulting number as the radius because the whole length of the rope is already the radius!
1º Area (22m): 22^2 * pi = 484 * pi
2º Area (14m): 14^2 * pi = 196 * pi
Differences: 484 * pi - 196 * pi = 288 * pi
OPTION A
Don't divide the 22m and 14m by two and use that resulting number as the radius because the whole length of the rope is already the radius!
1º Area (22m): 22^2 * pi = 484 * pi
2º Area (14m): 14^2 * pi = 196 * pi
Differences: 484 * pi - 196 * pi = 288 * pi
OPTION A
