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

 Apr 7, 2021
 #1
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The length of the path is pi/2 + 2.

 Apr 7, 2021
 #2
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https://web2.0calc.com/questions/pls-help_31756#r3

 Apr 7, 2021

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