The area of a circumference can be calculated with this formula:
[tex]C=2\pi r[/tex]Where "r" is the radius of the circle.
The area of a circle can be found with this formula:
[tex]A=\pi r^2[/tex]Where "r" is the radius of the circle.
If you solve for "r" from the formula of a circumference, you get:
[tex]r=\frac{C}{2\pi}[/tex]Knowing that:
[tex]\begin{gathered} C=62.8in \\ \pi\approx3.14 \end{gathered}[/tex]You get:
[tex]\begin{gathered} r=\frac{62.8in}{(2)(3.14)} \\ \\ r=10in \end{gathered}[/tex]Knowing the radius, you can find the area of the circle:
[tex]\begin{gathered} A=(3.14)(10in)^2 \\ A=314in^2 \end{gathered}[/tex]The answer is:
[tex]A=314in^2[/tex]