2010 AMC 10B Problems/Problem 16

Radius of circle = $\frac{\sqrt{3}}{3} = \frac{1}{\sqrt{3}} = 0.577$

Half the diagonal of the square = $\sqrt{.5^2 + .5^2} = \frac{\sqrt{2}}{2} = 0.707$

Therefore the picture will look something like this:

Then you proceed to find: 4 * (area of the sector - area of the triangle) to get answer (B)

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