Perimeter / Radius = 2π 2 \pi

Geometry Level 3

ABAB is a diameter of the circle above, and CC is a point on the circumference such that
Area of Circle Area of ABC=2π. \frac { \text{Area of Circle} } { \text{ Area of } \triangle ABC } = 2 \pi. If B<A \angle B < \angle A , what is the measure of B\angle B in degrees?

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