That's a part of a circle that has a radius of 9 inches.
Area of any circle = (pi) x (radius)²
Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi) square inches.
That's the whole circle. How much of the whole circle is in the picture ?
A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.
So the area of the piece is (105/360) x (81 pi) = 74.22 square inches (rounded)