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31 Jan 2016, 07:04
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
86% (01:09) correct
14%
(01:39)
wrong
based on 83
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In the figure above, four equal circles are drawn within a square whose perimeter is 32. What is the area of the shaded region?
A. 32 − 16π
B. 64 − 16π
C. 64 − 32π
D. 32π − 32
E. 64π − 64
Attachment:
2016-01-31_1802.png [ 4.31 KiB | Viewed 3128 times ]
01 Feb 2016, 11:41
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Hi All,
The 'key' to solving most Multi-Shape Geometry questions is to think about how the various shapes 'inter-connect' with one another. If you're not sure how to begin, here are some hints to tackle this question:
GMAT assassins aren't born, they're made,
Rich
The 'key' to solving most Multi-Shape Geometry questions is to think about how the various shapes 'inter-connect' with one another. If you're not sure how to begin, here are some hints to tackle this question:
1) To figure out the shaded area, you have to subtract the areas of the 4 circles from the area of the square.
2) From the given information, you can figure out the dimensions of the square.
3) Consider how the diameters of the circles 'inter-connect' with the side of the square.
4) You can now figure out the length of the radius.
5) Calculate the area of 1 circle and you can figure out the areas of all 4.
2) From the given information, you can figure out the dimensions of the square.
3) Consider how the diameters of the circles 'inter-connect' with the side of the square.
4) You can now figure out the length of the radius.
5) Calculate the area of 1 circle and you can figure out the areas of all 4.
GMAT assassins aren't born, they're made,
Rich
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02 Feb 2016, 18:05
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perimeter = 32........then length of square x=8
X = 2 * Diameter of a circle D= 4, R=2
Area = πR^2=4π
Areas of 4 circles = 16π
shaded area = 64-16π
Answer: B
X = 2 * Diameter of a circle D= 4, R=2
Area = πR^2=4π
Areas of 4 circles = 16π
shaded area = 64-16π
Answer: B
