ΒΆ 1976 AHSME Problem 18
Problem: In the adjoining figure, is tangent at to the circle with center ; point is interior to the circle; and intersects the circle at . If and , then the radius of the circle is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
In the adjoining figure, is the point of intersection of the circle and the extension of , and is the diameter passing through . Let denote the radius of the circle.
Then
Also
.
