Respuesta :

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]

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