Answer :

Given, the diameter of the apple pie, D=15 cm.

The radius of the apple pie is,

[tex]\begin{gathered} r=\frac{D}{2} \\ =\frac{15\text{ cm}}{2} \\ =7.5\text{ cm} \end{gathered}[/tex]

The area of the pie is,

[tex]\begin{gathered} A=\pi r^2 \\ =\pi(7.5)^2 \\ =176.7cm^2 \end{gathered}[/tex]

Therefore, the area of the apple pie is 176.7 cm^2.