Answer: 44.18inch^2
Explanation:
First, find the area of the pizza.
![A=\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y53l5bajukem3vosj2tgna2lxvbu4ngh5h.png)
We do not have the radius, but we do have the diameter; and we know that the radius is diameter divided by 2.
![(d)/(2)=r\\(15)/(2)=r\\ 7.5=r](https://img.qammunity.org/2021/formulas/mathematics/high-school/1amnb1790xcp4kidez8fy357sawlav72i5.png)
Now plug this into the formula.
![A=\pi r^2\\A=(3.14) (7.5)^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/m75y3gq5y5hjybwxugtgrnn4w041gvm50x.png)
![A=176.71inch^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/pmmx4ac9bkdldvdsbvjkz6u5b686rpib8q.png)
If this pizza was cut into 4 equal slices, we can assume that the area is divided by 4.
![(A)/(4)=Area-of-one-slice](https://img.qammunity.org/2021/formulas/mathematics/high-school/hboim8bhthgeg7628u6e9gyv97b39yclx9.png)
![(176.71inch^2)/(4)=?](https://img.qammunity.org/2021/formulas/mathematics/high-school/94avd6btqvmjn02av113cqelm64jnxq54m.png)
![A/slice=44.18inch^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/5mke2orb8vycuiegejudnjxpkya4ccwzcl.png)