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circular base

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circular base

by sairamGmat » Sat Sep 11, 2010 8:05 am
The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence at points A and B, as shown in the figure above. Point C is on the ground where the two sides of the fence meet.
How far from the center of the pool's base is point A?
(1) The base has area 250 square feet.
(2) The center of the base is 20 feet from point C
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Source: — Data Sufficiency |
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by 4GMAT_Mumbai » Sat Sep 11, 2010 9:39 am
Hi,

1. This provides us the radius of the circle - which is what is asked in the question. Hence, suff.

2. This gives CO = 20 feet.

CO ^ 2 = CA ^ 2 + AO ^ 2

Larger the value of CA, lesser the value of AO and viceversa. Hence, insuff.

Is this answer (A) correct? Pls. clarify.

Thanks.
Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai
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by gmatmachoman » Sat Sep 11, 2010 11:09 pm
Yes sir, you are indeed correct!!
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