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Eternal Intern
Joined: 07 Jun 2003
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Location: Lone Star State
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This problem absolutely pissed me off. I can tell you I [#permalink]
 15 Jul 2003, 20:16
This problem absolutely pissed me off. I can tell you I logically tried everything and you know what a computer test doesn't tell you that this is an end of section problem.
A pilot surveys a flat circular area represented by 4 pi square inches on a map. If one inch on the map represents 60 miles, how many square miles does the pilot survey?
VT
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Director
Joined: 03 Jul 2003
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My Ans:
1 inch = 60 miles
1 sq inch = 60 * 60 = 3600 sq miles.
Area covered in the map = 4pi
Area coverd = 4* pi * 3600 = 14400pi sq miles
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Manager
Joined: 03 Jun 2003
Posts: 86
Location: Uruguay
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Answer:
1 inch = 60 meters
4pi = 2^2pi
2 inches = 120 meters
120^2pi = 14400pi
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Manager
Joined: 24 Jun 2003
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Location: Moscow
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I heard that approximation of 3 for 'pi' is enough for GMAT. Therefore, 'a pilot surveys a flat circular area represented by 4 pi square inches on a map' can be translated as he surveys 12 sq inches.
Draw a 3 by 4 ractangular for clarity. Now, if 1 inch = 60 miles, 3=180 and 4=240. Multiplying one side of a ractangular by another will give us its area. Thus, the answer is 43,200 sq. ml
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