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# The Quest for 700: Weekly GMAT Challenge (Answer)

Yesterday, Manhattan GMAT posted a GMAT question on our blog. Today, they have followed up with the answer:

Real numbers are an excellent strategy in solving this problem. Say the radius of the circle is 1, and therefore its area is . Thus, the area of the square is also , and its side is, consequently, √.

Since the diagonal of a square is the same as the hypotenuse of a 45-45-90, the diagonal of the square is now √ times √2 , or √(2).

Be careful – the question asks for the diameter of the circle, which is 2. Thus, the answer is 2 : √(2).

If you chose to make up a number for the square, your answer will look somewhat different but will still resolve to 2 : √(2).

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