The circumference of a circle can be found through the formula:
[tex]C=2\cdot\pi\cdot r[/tex]
clear the equation for the radius
[tex]r=\frac{C}{2\pi}[/tex]
find the radius of the circumference
[tex]\begin{gathered} r=\frac{278.71}{2\pi} \\ r\approx44.358 \end{gathered}[/tex]
find the area of the circle using the formula
[tex]\begin{gathered} A=\pi\cdot r^2 \\ A=\pi\cdot(44.358)^2 \\ A\approx6181 \end{gathered}[/tex]
