# A geometrical enigma

Geometry Level 4

Find the ratio between the area of a square inscribed in a circle,and an equilateral triangle circumscribed about the same circle.

If the ratio is in the form $$\dfrac{\sqrt{{a}}}{{b}}$$, where $$a$$ and $$b$$ are positive integers with $$a$$ and $$b$$ as small as possible, find $${a}+{b}$$.

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