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22 Aug 2018, 03:48
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B
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Difficulty:
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90% (00:55) correct
10%
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based on 51
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Note: Figure not drawn to scale.
If the radius of the inner circle is one-fifth of the radius of the outer circle, what is the ratio of the circumference of the inner circle to that of the outer circle?
A. 1 : 25
B. 1 : 5
C. 2 : 5
D. 5 : 2
E. 5 : 1
Attachment:
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Chethan92
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Location: India
Concentration: Operations, General Management
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GMAT 1: 590 Q46 V25
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22 Aug 2018, 03:54
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Let the radius of the inner circle be r.
Let the radius of the outer circle be R.
Given r = 1/5R. 5r = R
Circumference of smaller circle = 2πr.
Circumference of bigger circle = 2πR.
2πr:2πR.
2πr:2π(5r)
Ratio is 1:5
B is the answer
Posted from my mobile device
Let the radius of the outer circle be R.
Given r = 1/5R. 5r = R
Circumference of smaller circle = 2πr.
Circumference of bigger circle = 2πR.
2πr:2πR.
2πr:2π(5r)
Ratio is 1:5
B is the answer
Posted from my mobile device
22 Aug 2018, 04:05
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Bunuel
Given, \(r_{i}=\frac{r_{o}}{5}\)
Or, \(\frac{r_{i}}{r_{o}}=\frac{1}{5}\)
ratio of the circumference of the inner circle to that of the outer circle=\(\frac{2\pi*r_{i}}{2\pi*r_{o}}\)=\(\frac{r_{i}}{r_{o}}\)=\(\frac{1}{5}\)
Ans. (B)
