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 ( (37.68)/(2 \pi )) ^(2)` ≈ 451.93 units