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

Answer 1

Answer:

The surface area of the sphere is 86,525,84 yd^2

Step-by-step explanation:

The surface area of a sphere is equal to :

SA = 4 π r^2

Step 1 :

We have to find the radius of the sphere

The circumference of a circle is equal to :

C = 2π r

So then we have ,

C = 521.24 yd

Now we have to substitute and solve for r

521.24 = 2 ( 3.14 )r

r = 521.24/ 6.28 = 83 yd

Step 2 :

We have to find the surface area of the sphere

so ,substitute the values

then you'll get

SA= 4( 3.14 ) ( 83^2 ) = 86,525.84 yd^2

This will be your answer : 86,525.84 yd^2