We are asked to determine the area of a circle that has 8 miles of radius since we are told that the storm is expected to hit 8 miles in every direction. The area of the circle is:
![A=\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/lcgfavc89jro4qntamn2b9gfliomu1jwuf.png)
Now, we plug in the value of the radius:
![A=\pi(8mi)^2](https://img.qammunity.org/2023/formulas/physics/college/waqhtrbe17d0jth6qnjw2cp4dcuaah59u0.png)
Solving the operations:
![A=201.1mi^2](https://img.qammunity.org/2023/formulas/physics/college/kcdv9t4ooonsy8ohx708yus5gw9a7em8jw.png)
Therefore, the area that will be affected is 201.1 square miles.