# Kissing Circles For Valentines Day

Geometry Level 2

Two circles of with equal radii are tangent to each other at point $$C$$. Line segment $$AB$$ is tangent to both circles, where $$A$$ and $$B$$ are the points of tangency.

Let the area of $$\triangle ABC$$ be $$x$$ and let the combined area of the circles be $$y$$. What is $$\frac{y}{x}$$ rounded to 4 decimal places?

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