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by goyalsau » Wed Nov 24, 2010 2:21 am
Guys Help me understand How to find the radius of the smaller circle.
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by beat_gmat_09 » Wed Nov 24, 2010 3:44 am
Is radius of smaller circle S = 1/3 * (Radius of largest semi circle) ?
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by goyalsau » Wed Nov 24, 2010 4:56 am
beat_gmat_09 wrote:Is radius of smaller circle S = 1/3 * (Radius of largest semi circle) ?
I don't know, I don't have the explanation of this question, How you Reach 1/3 please share that.
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by beat_gmat_09 » Wed Nov 24, 2010 5:00 am
goyalsau wrote:
beat_gmat_09 wrote:Is radius of smaller circle S = 1/3 * (Radius of largest semi circle) ?
I don't know, I don't have the explanation of this question, How you Reach 1/3 please share that.
Image

refer above fig.

In Triangle PRS
OS = R - r
PS = R/2 + r
PO = R/2
(R/2+r)^2 = (R-r)^2 + (R/2)^2
Solving R = 3r
r = (1/3)*R
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by goyalsau » Wed Nov 24, 2010 5:16 am
beat_gmat_09 wrote:
goyalsau wrote:
beat_gmat_09 wrote:Is radius of smaller circle S = 1/3 * (Radius of largest semi circle) ?
I don't know, I don't have the explanation of this question, How you Reach 1/3 please share that.
Image

refer above fig.

In Triangle PRS
OS = R - r
PS = R/2 + r
PO = R/2
(R/2+r)^2 = (R-r)^2 + (R/2)^2
Solving R = 3r
r = (1/3)*R
Great Work , I don't find any problem with your solution , It just seems to be perfect,

Important part was OS = R - r PS = R/2 + r These equations, I was not able to figure out the relation,

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Saurabh Goyal
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