What is the maximum perimeter of a square that can fit inside a circle of radius 5 cm?

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Correct Answer: **B.** *20√2*

As can be seen from the figure below, the diagonal of the square is equal to the diameter of the circle, which is 5×2=10 cm. If the length of one side of the square is x, the diagonal is given by √2 x. Therefore, √2(x) = 10 -> x = 5√2 and the perimeter is 4 × 5√2 = 20√2.

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