Mathematics
Mathematics, 06.10.2021 22:40, alisonsolis155

Arc $AC$ is a quarter-circle with center $B$. The shaded region $ABC$ is "rolled" along a straight board $PQ$ until it reaches its original orientation for the first time with point $B$ landing at point $B^{\prime}$. If $BC = \frac{2}{\pi}$ cm, what is the length of the path that point $B$ travels? Express your answer in simplest form.

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Arc $AC$ is a quarter-circle with center $B$. The shaded region $ABC$ is "rolled" along a straight b...

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