From the value of the circumference, we can calculate the radius. And then, from the radius we can calculate the area:
The equation for the circumference C is:
[tex]\begin{gathered} C=2\pi\cdot r \\ 62\pi=2\pi\cdot r \\ r=\frac{62\pi}{2\pi} \\ r=31 \end{gathered}[/tex]Now we can calculate the area A using the expression:
[tex]\begin{gathered} A=\pi\cdot r^2 \\ A=\pi\cdot(31)^2 \\ A=\pi\cdot961 \\ A=961\pi \end{gathered}[/tex]Answer: the area is A = 961*∏ cm^2
