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06 Jan 2015, 08:10
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Tough and Tricky questions: Geometry.
The figure above shows three tangent circles (they touch at exactly one point), each with their centers along the same horizontal axis. The biggest circle contains two smaller ones. Of the two smaller circles, the larger one has a radius of 6 inches and the smaller one has a radius of 3 inches. What is the radius of the largest circle (in inches)?
A. 3
B. 6
C. 9
D. 12
E. 18
Kudos for a correct solution.
Attachment:
2015-01-06_1909.png [ 5.12 KiB | Viewed 6946 times ]
06 Jan 2015, 09:33
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Bunuel
Tough and Tricky questions: Geometry.
The figure above shows three tangent circles (they touch at exactly one point), each with their centers along the same horizontal axis. The biggest circle contains two smaller ones. Of the two smaller circles, the larger one has a radius of 6 inches and the smaller one has a radius of 3 inches. What is the radius of the largest circle (in inches)?
A. 3
B. 6
C. 9
D. 12
E. 18
Kudos for a correct solution.
Attachment:
2015-01-06_1909.png
say
Largest circle L
Largest of Smaller circle S1
Smallest of Smaller circle S2
Radius of S1 = 6; Diameter SD1 = 12
Radius of S2 = 3; Diameter SD2 = 6
diameter of L = SD1 + SD2 since the centers are in same line
LD1 = 18
LR1 = 9
Ans C
07 Jan 2015, 00:33
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Answer = C = 9
Diameter of small circle = 6
Diameter of medium circle = 12
Diameter of large circle = 12+6 = 18
Radius of large circle = 9
Diameter of small circle = 6
Diameter of medium circle = 12
Diameter of large circle = 12+6 = 18
Radius of large circle = 9
