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Circle

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Manager
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Circle [#permalink] New post 17 Aug 2007, 04:54
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Folks.See attachment for the question
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Re: Circle [#permalink] New post 17 Aug 2007, 05:21
r0m3416 wrote:
Folks.See attachment for the question


E.

Solving what it is asking for...
Set R = radius of circle
r = radius of semi circle
The question is asking if
P*(R^2) < P*(r^2) / 2
Same as if
(R/r)^2 < 1/2
R/r < 1/1.4
R/r < 5/7

(1) R/r < 1
Can't tell, INSUFFICIENT

(2) 2*P*R < P*r + 2r
=> 2*P*R < r*(P+2)
=> R/r < (P+2) / (2*P)
=> R/r < 5.14 / 6.28
=> R/r <~ 5/6
Can't tell, INSUFFICIENT

Together, still get R/r < 5/6, INSUFFICIENT.
Manager
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[#permalink] New post 17 Aug 2007, 05:35
Correct approach...

I ll also go for E....
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 [#permalink] New post 17 Aug 2007, 08:39
good explanation. E it is.
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Re: Circle [#permalink] New post 19 Aug 2007, 01:04
that is one hell of a way to solve this :cool


bkk145 wrote:
r0m3416 wrote:
Folks.See attachment for the question


E.

Solving what it is asking for...
Set R = radius of circle
r = radius of semi circle
The question is asking if
P*(R^2) < P*(r^2) / 2
Same as if
(R/r)^2 < 1/2
R/r < 1/1.4
R/r < 5/7

(1) R/r < 1
Can't tell, INSUFFICIENT

(2) 2*P*R <P> 2*P*R <r> R/r <P> R/r <5> R/r <~ 5/6
Can't tell, INSUFFICIENT

Together, still get R/r < 5/6, INSUFFICIENT.
:cool
Re: Circle   [#permalink] 19 Aug 2007, 01:04
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