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 496.12 yd. What is the surface area of the sphere? Use 3.14 for pi.

19596.74 yd ^ 2

Step-by-step explanation:

The first thing is to detect the data they give us, that value corresponds to the perimeter.

The perimeter has how it formulates:

p = 2 * pi * r

solving for r

r = p / 2 * pi

replacing

r = 496.12 / (3.14 * 2)

r = 79 and d

now the area is equal to:

a = pi * r ^ 2

replacing

a = 3.14 * 79 ^ 2

a = 19596.74 and d ^ 2

means that the area is 19596.74 yd ^ 2