Question

How do I find the area of the shaded blue region?

Answer 1

That's a 240 degree sector of a 9 inch radius circle.  The whole circle has area πr² and we want 240/360 of it.

A = (240/360) π (9²) = 54 π

Answer: 54 π square inches

That's the exact answer.  An approximation is

169.646 square inches