# Distance to a Circle

Geometry Level 3

Given circle $$\Gamma$$ and a point $$P$$ outside of $$\Gamma$$, 2 lines $$l_1$$ and $$l_2$$ are drawn such that both pass through $$P$$. $$l_1$$ intersects $$\Gamma$$ at $$A$$ and $$B$$, and $$l_2$$ intersects $$\Gamma$$ at $$C$$ and $$D$$, with $$C$$ between $$D$$ and $$P$$. If $$PA = 44, PB = 294$$ and $$PC = 56$$, what is $$PD$$?

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