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

Answer 1

`92893.76 \text{ Square Yards}`

Explanation:

The widest circle of the sphere circumference of 540.08 yd.

Therefore:

`\text{Circumference of the widest circle, } 2\pi r=540.08\\r=540.08 / (2*3.14) =86 yd\\$Radius of the sphere =86 yd`

We proceed to calculate the Surface area of the sphere.

`\text{Surface Area of a Sphere } =4\pi r^2\\Since \: r=86yards\\\text{Surface Area } =4*3.14* 86^2\\=92893.76 \text{ Square Yards}`

The surface area of the sphere is 92893.76 Square Yards.