SOLUTION
The area of a circle is given as
[tex]\begin{gathered} Area=\pi r^2 \\ since\text{ the diameter is 27, the radius r = }\frac{dameter}{2}=\frac{27}{2} \end{gathered}[/tex]Applying we have
[tex]\begin{gathered} Area=3.1416\times(\frac{27}{2})^2 \\ =3.1416\times13.5^2 \\ =3.1416\times182.25 \\ =572.5566 \\ =572.56\text{ in}^2 \end{gathered}[/tex]Hence the answer is 572.56 square-inches to the nearest hundredth