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.)

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.