Review GMATPrep Test 1 #2_PS Triangles inscribed #12

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by Anurag@Gurome » Sun Mar 11, 2012 8:34 pm
kwah wrote:What is the most efficient way to achieve the result for question attached?

Answer: C

Thanks,
K
If each side of square = s
Then s² = 16 implies s = 4
Now, we can find the length of diagonal of the square (d) by using Pythagoras Theorem,
d² = 4² + 4² = 16 + 16 = 32
d = √32 = 4√2

Diagonal of the square is the diameter of the circle. So, radius of circle = 2√2
So, area of circular region = (pi) * radius² = (pi) * (2√2)² = [spoiler]8(pi)[/spoiler]

The correct answer is C.
Anurag Mairal, Ph.D., MBA
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