# Another Cyclic Trapezoid

Geometry Level 4

A trapezoid $$ABCD$$ is circumscribed around a circle with radius $$r$$ and inscribed in a circle with radius $$R$$, with bases $$AB$$ and $$CD$$, such that $$AB>CD$$ and $$BC=AD=R$$. If $$R=k\cdot AB$$, find $$k$$ to the nearest 3 decimal places.

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