# Cirangle!

Geometry Level 3

The radius of the above circle is $$20$$ and $$\angle AOB=\frac{3}{10} \pi.$$

If $$C$$ is a point on $$\overline{BO}$$ such that $$\overline{AC}$$ is the bisector of $$\angle BAO,$$ what is the length of $$\overline{BC}?$$ (Round your answer to 3 decimal places.)

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