MathDB

In the diagram below, point

A

lies on the circle centered at

O

AB

is tangent to circle

O

with

\overline{AB} = 6

. Point

C

\frac{2\pi}{3}

radians away from point

A

on the circle, with

BC

intersecting circle

O

at point

D

. The length of

BD

3

. Compute the radius of the circle.
https://cdn.artofproblemsolving.com/attachments/7/8/baa528c776eb50455f31ae50a3ec28efc291e8.png

Problem Statement