Answer:
14.14
![in^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/uf6e6whevt9zjf2i2s08uvhkru8xd1o7bi.png)
Explanation:
First, find the area of the whole pizza, knowing that its diameter is 12 inches, and therefore its "radius" (R) is 6 inches.
We apply the formula for the area of a circle:
![Area= \pi R^2=\pi (6)^2=113.09 in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6dchrq1m5cfmsq6kn4fqvh7btsxhdtgmsw.png)
Now, since it is divided into 8 exactly equal slices, in order to find the are of each slice, we divide the total area by 8:
![(113.1)/(8) in^(2) =14.14 in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a4u7wmj7u7w77h24htv8bzzdyvph1ra2n1.png)