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

Answer 1

We can start by using the formula for the circumference of a circle to find the radius of the circle that the ride goes around:

C = 2πr

where C is the circumference and r is the radius.

Plugging in the given circumference, we get:

496.12 = 2πr

Solving for r, we get:

r = 496.12 / (2π) ≈ 78.97 yards

Now, we can use the formula for the surface area of a sphere:

A = 4πr^2

where A is the surface area and r is the radius.

Plugging in the value of r that we found, we get:

A = 4π(78.97)^2 ≈ 78,460.92 square yards

Therefore, the surface area of the sphere is approximately 78,460.92 square yards.