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# M20-19

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Math Expert
Joined: 02 Sep 2009
Posts: 47169

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16 Sep 2014, 01:08
00:00

Difficulty:

5% (low)

Question Stats:

84% (01:05) correct 16% (00:51) wrong based on 125 sessions

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What will be the percentage increase in the area of a circle if the perimeter of the circle grows by 10% ?

A. 20%
B. 21%
C. 36%
D. 40%
E. 44%

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Math Expert
Joined: 02 Sep 2009
Posts: 47169

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16 Sep 2014, 01:08
1
1
Official Solution:

What will be the percentage increase in the area of a circle if the perimeter of the circle grows by 10% ?

A. 20%
B. 21%
C. 36%
D. 40%
E. 44%

"The perimeter of the circle grows by 10%" is another way of saying that the radius of the circle will grow by 10%. The new area will be $$\pi(1.1r)^2 = \pi*1.21*r^2$$. Thus, the increase in area will equal 21%.

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Director
Joined: 08 Jun 2015
Posts: 517
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38

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09 Oct 2017, 06:05
+1 for B
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" The few , the fearless "

Re: M20-19 &nbs [#permalink] 09 Oct 2017, 06:05
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# M20-19

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