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# Finding radius of a partially sunk circle

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Intern
Joined: 05 May 2011
Posts: 4

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12 Oct 2012, 19:20
What is the radius of the circle ?

If it is possible to solve, please explain. Thank you.
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radius prob.jpg [ 33.21 KiB | Viewed 1075 times ]

Kudos [?]: 1 [0], given: 18

Manager
Joined: 29 Apr 2012
Posts: 100

Kudos [?]: 82 [0], given: 47

Location: United States
GMAT Date: 10-22-2012

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12 Oct 2012, 20:48
hey Tapas, are you sure there is nothing missing in this question and you haven't missed on anything... ?
is this the full question stem?

Kudos [?]: 82 [0], given: 47

Intern
Joined: 05 May 2011
Posts: 4

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12 Oct 2012, 21:12
hey Tapas, are you sure there is nothing missing in this question and you haven't missed on anything... ?
is this the full question stem?

I'm looking for a solution just from the given information.

I've thought in this way : for 2 units of upper radius , 5 units [or 10 unit] of upper circumference goes. Problem is this relation won't work for the lower portions of radius and circumference. .............Isn't it possible to make/create any kind of relation in between ? .......anything logical?

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Manager
Joined: 29 Apr 2012
Posts: 100

Kudos [?]: 82 [0], given: 47

Location: United States
GMAT Date: 10-22-2012

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12 Oct 2012, 21:15
to solve this perticular problem we need atleast an angle or the lenghth of the chord.
im getting two variable for which i need atleaset two equations..

Any thoughts?
where did u get this question from?

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Intern
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12 Oct 2012, 21:32
instead of the partial value of circumference [ here 5 units], if the value of ''--------'' portion is given as 5 units, it would be easy to get the radius.

look, here is just given two variables...............

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VP
Joined: 02 Jul 2012
Posts: 1216

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Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)

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12 Oct 2012, 23:11
1
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Looking at the data given and thinking graphically, I think we can draw only one circle which would satisfy these data. So there should be some way of finding the radius based on the data given alone. However, I dont think this question is in the scope of GMAT or maybe even Indian CAT for that matter.

http://www.handymath.com/cgi-bin/arc18.cgi

From the above link it's evident that the radius can be calculated to be around 5.88. Although the working method to finding it would probably be tedious and out of the scope of GMAT
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Re: Finding radius of a partially sunk circle   [#permalink] 12 Oct 2012, 23:11
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