Explanation
Given: An inscribed circle in a square of side 5 inches.
We are required to determine the area of the inscribed circle.
This is achieved thus:
We know that the side of the square equals the diameter of the circle. Therefore, we have:
[tex]\begin{gathered} D=5in \\ \\ Area\text{ }of\text{ }circle=\frac{\pi D^2}{4} \\ Area=\frac{\pi\times5^2}{4} \\ Area=\frac{25}{4}\pi in^2 \end{gathered}[/tex]Hence, the answer is:
[tex]\begin{equation*} \frac{25}{4}\pi in^2 \end{equation*}[/tex]