Circle O is inscribed in square ABCD as shown above. The area of the s

This question can be solved logically, in my opinion. Instead of using heavy calculation, we can deduce that the radius is 5- that the radius shown doesn't touch the edge of the square is, again in my opinion, an optical illusion. Actually, if you draw a line from the middle point of any side of the square to the center the radius must be 5. Knowing that the radius must be 5, we can segment a portion of the square- 5 by 5 would be the area of the square that the shaded triangle is contained within; hence, through the process of elimination we can arrive at answer "A." Though this is probably a shoddy method when considering a 700 level question.

Hi Nunuboy1994,

Your approach to this question (and taking advantage of the 'spread' of the answer choices) is a perfectly valid way to approach the question. GMAT prompts are almost always designed so that they can be solved in more than one way (and the math-heavy approach often takes longest), so using every piece of information to your advantage (including the design of the answer choices) can be quite helpful in raising your score and approaching each section in the most efficient way possible. It's not clear what the source of this question actually is, but if something like this were to appear on the Official GMAT, then the answer choices probably wouldn't be as spread out as they are here (meaning that you'd have to do a bit more work to get to the correct answer).

GMAT assassins aren't born, they're made,
Rich

answer should be around 5.25. n none of the option matches.