The area of a circle when you know the radius is found using the formula Area = PI x r^2
The small circle has a radius of 7 inches.
The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.
Using the circumference of a circle use the formula Area = C^2 / 4*PI
Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.
Now to find the blue area subtract the area of the smaller circle from the larger one:
1018.39 - 153.86 = 864.53 square inches.