If we call the radius of the circle r, then using intersecting chords:
8*4 = (r+9)*(r-9)
32 = r^2-81
r^2 = 113
The area of the circle is pi*r^2
113*pi = 354.9999699, 355 to the nearest integer. (355/113 is a famously good approximation for pi).
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