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# Does the area of square S equals the area of circle C? I)

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Manager
Joined: 01 Jan 2005
Posts: 155
Location: NJ
Does the area of square S equals the area of circle C? I)  [#permalink]

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03 Mar 2005, 19:06
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Does the area of square S equals the area of circle C?

I) The diameter of C equals side of S.

II) Ratio of 2/4 of area of circle C to 5/8 of the area of square S is less than 1:1

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Current Student
Joined: 28 Dec 2004
Posts: 2992
Location: New York City
Schools: Wharton'11 HBS'12

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03 Mar 2005, 19:17
D it is...

1) we know Diameter is X....lets say side of square S is equal to X

area of circle= pi(x/2)^2

area of square S=x^2, we can easily tell that area of circle in not equal to area of square.

1 is sufficient

2) we have the area of 1/2circle over 5/8 area of Square S is <1

12/5 (area of circle)/(area of square) <1, we can see that the area of square S has to be bigger than 12/5*area of circle...sufficient
VP
Joined: 18 Nov 2004
Posts: 1254

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03 Mar 2005, 19:58
"A"

state 1.....we know dia and side....suff

state 2.....(1/2C) / (5/8 S) < 1..........4C < 5S....for S = C = 1.....YES....S = 2 C = 1.....NO...insuff
VP
Joined: 25 Nov 2004
Posts: 1308

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03 Mar 2005, 20:05
from i.
C=pi(d/2)^2=(3.14d^2)/4
S=d^2
from above; S>C .............suff

from ii,
0.5C/ 0.625S<1
4C<5S......... insuff.

OA is A.
Current Student
Joined: 28 Dec 2004
Posts: 2992
Location: New York City
Schools: Wharton'11 HBS'12

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04 Mar 2005, 08:04
Ma bad...I got the fraction wrong. its 4/5 and yes A it is...

ahhh...if I can only keep my focus....during the actual test!

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This discussion does not meet community quality standards. It has been retired.

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Joined: 09 Sep 2013
Posts: 12064
Re: Does the area of square S equals the area of circle C? I)  [#permalink]

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20 Jul 2019, 00:16
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Re: Does the area of square S equals the area of circle C? I)   [#permalink] 20 Jul 2019, 00:16
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