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

Answer:

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

Step-by-step 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 = $2 \times \pi \times r$

$r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd$

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

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