Answer:
The surface area of the sphere is = [tex]99426.41 yd^2[/tex]
Step-by-step explanation:
The area of a sphere can be calculated using this formula:
[tex]A=4\pi r^2[/tex]
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 = [tex]2 \times \pi \times r[/tex]
[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]
We now have our radius. we can input it into equation 1 above
The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]