Cut Through the Circle

Geometry Level 2

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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