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# M21-17

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Math Expert
Joined: 02 Sep 2009
Posts: 55188

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16 Sep 2014, 01:10
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Difficulty:

5% (low)

Question Stats:

94% (01:06) correct 6% (01:43) wrong based on 68 sessions

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If a ring is formed by the inner circle of radius 2 and the outer circle of radius 3, what is the ratio of the area of the ring to that of the inner circle?

A. 1:2
B. 2:3
C. 3:4
D. 5:4
E. 8:5

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Math Expert
Joined: 02 Sep 2009
Posts: 55188

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16 Sep 2014, 01:11
Official Solution:

If a ring is formed by the inner circle of radius 2 and the outer circle of radius 3, what is the ratio of the area of the ring to that of the inner circle?

A. 1:2
B. 2:3
C. 3:4
D. 5:4
E. 8:5

The area of the inner circle $$= \pi*2^2 = 4\pi$$. The area of the ring $$= 9\pi - 4\pi = 5\pi$$. The required ratio $$= \frac{5\pi}{4\pi} = \frac{5}{4}$$.

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Joined: 08 Jun 2015
Posts: 425
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33

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28 Nov 2017, 08:26
+1 for D
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" The few , the fearless "
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Joined: 04 Sep 2018
Posts: 38
GPA: 3.33

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05 Feb 2019, 04:10
Can anyone please explain why we subtracted 9π- 4π if we wanted to find the total area of the ring? Shouldn't we be adding these two to find the total area which is the inner circle plus the outer circle?

Re: M21-17   [#permalink] 05 Feb 2019, 04:10
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# M21-17

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