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One large circle and two identical smaller circles are inscribed insid

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Joined: 01 May 2016
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Concentration: Finance, International Business
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One large circle and two identical smaller circles are inscribed insid  [#permalink]

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New post 21 Feb 2018, 01:57
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A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

41% (01:55) correct 59% (01:55) wrong based on 32 sessions

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One large circle and two identical smaller circles are inscribed inside a rectangle as shown above. A and B are the points of intersection of the long side of the rectangle and the large and small circles (respectively.) If the short side of the rectangle is 8, what is AB?

a 4

b 2√5

c 4√2

d 6

e 2√10

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One large circle and two identical smaller circles are inscribed insid  [#permalink]

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New post 21 Feb 2018, 08:41
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Tridhipal wrote:
Attachment:
The attachment 11.png is no longer available

One large circle and two identical smaller circles are inscribed inside a rectangle as shown above. A and B are the points of intersection of the long side of the rectangle and the large and small circles (respectively.) If the short side of the rectangle is 8, what is AB?

a 4

b 2√5

c 4√2

d 6

e 2√10


Hi...
What can you make out of the RADIUS..
The larger circle's radius is twice of smaller one's..
Larger one =\(\frac{8}{2}=4\) and smaller one is 2..

Now join the centre of larger and the smaller one as shown
This line will be = sum of radius = 4+2=6

Now draw a line PARALLEL to AB and bisecting the radius drawn from A at D..
Now you have a right angle triangle whose hypotenuse is 6 and one side is 4-2=2
Third side, CD, which will also be equal to AB = \(√(6^2-2^2)=√32=4√2\)

C

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

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. 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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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One large circle and two identical smaller circles are inscribed insid &nbs [#permalink] 21 Feb 2018, 08:41
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