We must find the radius so we can plug this into the formula for surface area.
Circumference = [tex]2 \pi r[/tex]
[tex]37.68 = 2 \pi r \\ r = 37.68/2 \pi[/tex]
We are going to plug this in as our radius for the most accurate answer.
The surface area of a sphere is [tex]4 \pi r^{2} [/tex]
Surface Area = [tex]4 \pi ( \frac{37.68}{2 \pi }) ^{2} [/tex] ≈ 451.93 units