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30 Dec 2014, 07:50
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
96% (00:43) correct
4%
(00:39)
wrong
based on 82
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Tough and Tricky questions: Geometry.
The figure above shows three circles, all centered on point O. What is the ratio of the circumference of the outermost circle to that of the innermost circle?
A. √3 : 1
B. 2 : 1
C. 3 : 1
D. π : 1
E. 9 : 1
Kudos for a correct solution.
Attachment:
2014-12-30_1849.png [ 6.03 KiB | Viewed 3639 times ]
30 Dec 2014, 08:21
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The question asks us about the ratio of the circumference of the outermost circle to that of the innermost circle, so we can forget about the innermost circle. From the diagram we can see that the radius of the outermost circle is 3 and the radius of the innermost circle is 1.
Since the circumference goes linear with the radius. The answer must be 3:1. Answer C.
If you want to confirm algebraically, here you go:
\(\frac{2\pi*3}{2\pi*1}=3/1\)
Since the circumference goes linear with the radius. The answer must be 3:1. Answer C.
If you want to confirm algebraically, here you go:
\(\frac{2\pi*3}{2\pi*1}=3/1\)
30 Dec 2014, 20:54
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Answer = C. 3 : 1
Ratio \(= \frac{2\pi (1+1+1)}{2\pi (1)} = \frac{3}{1}\)
Ratio \(= \frac{2\pi (1+1+1)}{2\pi (1)} = \frac{3}{1}\)
