Solution
Given the area = 21.2264
The shape in question is a circle.
Recall that the area of a circle is given as;
[tex]\begin{gathered} A=\pi\times r^2=21.2264 \\ \\ \Rightarrow r^2=\frac{21.22264}{\pi} \\ \\ \Rightarrow r=\sqrt[]{\frac{21.2264}{\pi}}=2.6 \end{gathered}[/tex]Now that we know the radius, The circumference of a circle is given as;
[tex]C=2\times\pi\times r=2\times\pi\times2.6=16.33\text{ inches}[/tex]