Given the information, we have the following circle shaped pizza:
we can use the following equation for the area of a circle:
[tex]A=\pi\cdot r^2[/tex]in this case, since the diameter is d = 8in, the radius is:
[tex]\begin{gathered} r=\frac{d}{2}=\frac{8}{2}=4 \\ \Rightarrow r=4 \end{gathered}[/tex]then, using the formula, we get:
[tex]\begin{gathered} A=\pi\cdot(4)^2=(3.1416)(16)=50.2656 \\ \Rightarrow A=50.3in^2 \end{gathered}[/tex]therefore, the area of the small pizza is 50.3 square inches