# My problems #8

Geometry Level 4

A square $$OABC$$ is formed by line pairs $$xy=0$$ and $$xy+1=x+y$$ where "O" is the origin .A circle With center $$C_1$$ inside the squre is drawn to touch the line pair $$xy=0$$ and another circle with center $$C_2$$ and radius twice that of $$C_1$$,is drawn to touch the circle $$C_1$$ and the other line pair.Find the radius of the circle With center $$C_1$$.

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