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Area of circle = Area of square ?

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by srisl11 » Sun Dec 07, 2008 10:58 am
Does the area of square S equal the area of circle C?

1) THe diameter of circle C equals the length of a side of square S

2) The ratio of 2/3 the area of circle to 5/8 the area of square S is less than 1:1

OA D

Source :Kaplan
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Source: — Data Sufficiency |
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by kris610 » Sun Dec 07, 2008 4:03 pm
If r is the radius of the circle, side of the square is 2r.
So, area of of square is 4(r^2) and that of the circle is (3.14)(r^2). SUFF

B says that 16*3.14*(r^2) / 15*(s^2), which would mean s^2/r^2 != pi. SUFF.
Last edited by kris610 on Mon Dec 08, 2008 8:05 pm, edited 2 times in total.
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by pbanavara » Mon Dec 08, 2008 6:59 pm
4r^2 = pi r^2 ??????
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by kris610 » Mon Dec 08, 2008 8:01 pm
pbanavara wrote:4r^2 = pi r^2 ??????
I meant this cannot be true and hence is SUFFICIENT to say that the areas are not equal.
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