To find the difference we need to calculate the area of each pizza. The area of a circle is given by:
[tex]A\text{ = }\pi\cdot r^2[/tex]
Calculating the area for each pizza we have:
[tex]\begin{gathered} A_1=\pi\cdot(\frac{16}{2})^2 \\ A_1=\pi\cdot(8)^2=64\pi \\ A_2\text{ = }\pi\cdot(\frac{12}{2})^2 \\ A_2\text{ = }\pi\cdot(6)^2\text{ = 36}\pi \end{gathered}[/tex]
The difference is the subtraction between them:
[tex]dA\text{ = 64}\pi-36\pi=28\cdot3.14159\text{ = 87}.96[/tex]
The difference is 87.96 square inches.
