Cut Through the Circle

Geometry Level 2

Circle \(O\) is centered at the point of origin with point \(P = (3 , 4)\) lying on it. The red line \(l : 3x + 4y - 7 = 0\) intersects the circle at points \(A\) and \(B,\) as shown above.

What is the area of quadrilateral \(AOBP\)?

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