Dealing with Circles

Geometry Level 4

\(AB\) is a diameter of a circle of radius \(10\). \(C\) is a point on the circle such that arc \(BC=\dfrac{5\pi}{3}\). The bisector of \(\angle ACB\) cuts the circle at \(D\). Find the length of \(CD\).

Give your answer to 2 decimal places.

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