Problem: In the adjoining figure, AB is tangent at A to the circle with center O; point D is interior to the circle; and DB intersects the circle at C. If BC=DC=3,OD=2 and AB=6, then the radius of the circle is
Answer Choices:
A. 3+3​
B. 15/Ï€
C. 9/2
D. 26​
E. 22​
Solution:
In the adjoining figure, E is the point of intersection of the circle and the extension of DB, and FG is the diameter passing through D. Let r denote the radius of the circle.
Then
