# Cut Through the Circle

Geometry Level 3

The circle $$O$$ has a center at the point of origin with point $$P = (3 , 4)$$ on the circle. The line (red) $$l : 3x + 4y - 7 = 0$$ intersects the circle at points $$A$$ and $$B$$ as shown above.

What is the area of the quadrilateral $$AOBP$$?

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