Question

What is the approximate surface area of a sphere with a circumference of 37.68

Answer 1

We must find the radius so we can plug this into the formula for surface area. 

Circumference = $2 \pi r$
$37.68 = 2 \pi r \\ r = 37.68/2 \pi$

We are going to plug this in as our radius for the most accurate answer. 

The surface area of a sphere is $4 \pi r^{2}$

Surface Area = $4 \pi ( \frac{37.68}{2 \pi }) ^{2}$ ≈ 451.93 units