Final answer:
The area of the shaded region is 0.
Step-by-step explanation:
The area of the shaded region can be found by subtracting the area of the inscribed square from the area of the circle.
The area of the circle is given by the formula A = πr², where r is the radius of the circle. In this case, the radius is 9, so the area of the circle is approximately 254.47.
The side length of the square is equal to twice the radius, so it is 18. The area of the square is found by squaring the side length: A = 18² = 324.
To find the area of the shaded region, subtract the area of the square from the area of the circle: 254.47 - 324 ≈ -69.53.
However, since area cannot be negative, the area of the shaded region is 0.