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# Two circles share a center at point C, as shown to the right.

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Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 416
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Two circles share a center at point C, as shown to the right.  [#permalink]

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Updated on: 16 Feb 2015, 03:11
2
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:56) correct 7% (01:45) wrong based on 107 sessions

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Attachment:

circle areas.png [ 16.97 KiB | Viewed 2369 times ]
Two circles share a center at point C, as shown to the right. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle ?

A. 25/4
B. 5/2
C. 3/2
D. 2/5
E. 4/25

Originally posted by pacifist85 on 15 Feb 2015, 14:12.
Last edited by Bunuel on 16 Feb 2015, 03:11, edited 1 time in total.
Edited the question.
Manager
Joined: 23 Jan 2013
Posts: 138
Concentration: Technology, Other
Schools: Berkeley Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
Re: Two circles share a center at point C, as shown to the right.  [#permalink]

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15 Feb 2015, 18:04
Solution is

$$\frac{Area of the larger circle}{Area of the smaller circle} = \frac{PI* R^2}{PI*r ^2}$$

Radius of larger Circle R = 5
Radius of smaller Circle r = 2

Since PI cancels

Hence $$\frac{R^2}{r^2} = \frac{25}{4}$$

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Joined: 09 Sep 2013
Posts: 9464
Re: Two circles share a center at point C, as shown to the right.  [#permalink]

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21 Mar 2018, 12:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Two circles share a center at point C, as shown to the right. &nbs [#permalink] 21 Mar 2018, 12:06
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