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# PS - Circling

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Director
Joined: 25 Oct 2006
Posts: 590

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19 Mar 2009, 03:37
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Two circles with radius R and r are tangent to each other. If L tangent two circles at M and N point, in terms of R and r, what is the value of MN?
A R+r
B R*r
C (R*r)^1/2
D 2(R*r)^1/2
E (R^2*r^2)^1/2

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Manager
Joined: 22 Feb 2009
Posts: 58

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19 Mar 2009, 06:50
D.

Distance btw the center of circles = R+r

difference of length between radius = R-r

Please have a look on diagram. Traingale formed by joining the center of circles is right angle triangle.
MN^2 = (R+r)^2 - (R-R)^2
=2(Rr)^1/2

priyankur_saha@ml.com wrote:
Two circles with radius R and r are tangent to each other. If L tangent two circles at M and N point, in terms of R and r, what is the value of MN?
A R+r
B R*r
C (R*r)^1/2
D 2(R*r)^1/2
E (R^2*r^2)^1/2

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diagram.JPG [ 8.18 KiB | Viewed 941 times ]

Director
Joined: 25 Oct 2006
Posts: 590

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19 Mar 2009, 10:21
thank you, excellent.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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If You're Not Living On The Edge, You're Taking Up Too Much Space

Re: PS - Circling   [#permalink] 19 Mar 2009, 10:21
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# PS - Circling

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