Question

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?

Answer 1

The surface area of the sphere is =
`99426.41 yd^2`

Explanation:

The area of a sphere can be calculated using this formula:

`A=4\pi r^2`

However, we have a little problem: we do not have our radius yet to utilize in the formula above.

We can get our radius from the circumference of the circle which has been given to us.

circumference =
`2 * \pi * r`

`r = (circumference)/(2 \pi) = (558.92yd)/(2\pi) = 88.95yd`

We now have our radius. we can input it into equation 1 above

The Surface area of sphere =
`4 * \pi * 88/95^2 = 99426.41yd^2`