The radius of the 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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