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Re: Is the area of the circle with center O larger than the area of the
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22 Oct 2017, 18:24
Official answer from Barron's GMAT:
The area of the circle plus the area of the region outside of the circle and inside of the square is equal to the area of the square, which is (AB)^2. Thus, if you can determine whether one are is larger (or smaller) than .5(AB)^2, that is sufficient.
Statement 1 alone is sufficient since the area of the circle is (pi)(OE)^2, and if (1) holds, then (pi)(OE)^2<(pi)((.25)(AB))^2. But since pi/16 is less than ½, we can answer the question. So the answer to question 1 is YES, and the only possible choices are A or D.
Statement 2 alone is not sufficient snce (2) does not give any information about the radius of the circle. Note you might think OE+EF=.5*AB; however, that requires the additional information that O is also the center of the square, which is NOT give.
Correct choice is A
