# Perimeter / Radius = $$2 \pi$$

Geometry Level 3

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

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