# There Are 3 Interior Angles! Which One?

Geometry Level pending

The above shows an isosceles triangle with its apex at the center of a circle and its base tangent to the circle. If one of the isosceles angles of the triangle is $$30^\circ$$, then the area of the overlapping region bounded by the triangle and the circle is $$\text{__________}$$ times the area of the circle.

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