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Rolling Squares

Geometry Level 3

Unit square $ABCD$ is rotated to the right 4 times along its sides, as illustrated above.

What is the distance traced out by point C?

\left( 1 + \frac{ \sqrt{2} } { 2} \right) \pi

\pi + 4

4

\left( 1 + \sqrt{2} \right) \pi

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by Chung Kevin

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