# A geometry problem by Ilham Saiful Fauzi

Geometry Level 3

Circles $$C_{1}$$ and $$C_{2}$$ have the same center.
Radius of $$C_{1}$$ is $$4$$ and radius of $$C_{2}$$ is 6.

A chord $$AB$$ of $$C_{1}$$ with length $$1$$ is extended until it intersects $$C_{2}$$ at points $$P$$ and $$Q$$.
Find the length of chord $$PQ$$.

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