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# Hard geo

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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 $B'$ . If $BC=\frac{2}{\pi}$ cm, what is the length of the path that point $B$ travels? Express your answer in simplest form.

Nov 17, 2022
edited by Guest  Nov 17, 2022

### 1+0 Answers

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The length of the path is 6 - pi.

Nov 17, 2022