A circle is circumscribed around a square and inscribed in a larger square. A point inside the larger square is chosen at random. Which of the following best approximates the probability that this point is inside the circle but outside the square inscribed in the circle?

(A) 28% (B) 31% (C) 35% (D) 39% (E) 43%

If you look at the answers you'd notice that only (A) when subtracted from 100 would result in an amount equally divided by 4 ( 4 quadrants of a square) = 100 - 28 = 72 /4 = 18. I used this as a short cut to estimate my answer.

That's the shortest way I could find the answer. What do you guys think??

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GMAT the final frontie!!!.