Answer: 44.18inch^2
Step-by-step explanation:
First, find the area of the pizza.
[tex]A=\pi r^2[/tex]
We do not have the radius, but we do have the diameter; and we know that the radius is diameter divided by 2.
[tex]\frac{d}{2}=r\\\frac{15}{2}=r\\ 7.5=r[/tex]
Now plug this into the formula.
[tex]A=\pi r^2\\A=(3.14) (7.5)^2[/tex]
[tex]A=176.71inch^2[/tex]
If this pizza was cut into 4 equal slices, we can assume that the area is divided by 4.
[tex]\frac{A}{4}=Area-of-one-slice[/tex]
[tex]\frac{176.71inch^2}{4}=?[/tex]
[tex]A/slice=44.18inch^2[/tex]