To solve this problem you must apply the proccedure shown below:
1. Clear the radius from the formula for the circumference of a circle and substitute values, as following:
[tex] C=2\pi r\\ r=C/2\pi \\ r=37.699in/2\pi \\ r=5.99in [/tex]
2. Substitute the radius calculated into the formula for calculate the surface area of the sphere:
[tex] SA=4\pi r^{2} \\ SA=4\pi(5.99in^{2})\\ SA=450.88in^{2} [/tex]
The answer is: [tex] 450.88in^{2} [/tex]
