PLEASE HELP: 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 540.08 yd. What is the surface area of the sphere? Use 3.14 for pi.

Respuesta :

Answer:

A = 539.8 yd²

Step-by-step explanation:

1) Determine the radius of the sphere.  Recall that C = 2πr, so that r = C/[2π].  Here, C = 540.08 yd, and thus r = (540.08 yd) / [2π] = 85.956 yd.

The surface area of this sphere is given by A = 4π*r², which here equals:

A =  4π*r²  =  4(3.14)(85.956 yd)²

or

A = 539.8 yd²