determine the length of wire in feet in a coil of 65 turns if the average diameter of the coil is 27.20 inches

Question

 Thank you to anyone who can help.

Answer 1

Let's find the circumference of a coil with a 27.2-inch diameter:

 

C = πd

C = 27.2π

 

 

That means the length of wire in a single coil is 27.2π inches. But you've got 65 coils. So, the total length of the wire is:

 

27.2π(65) = 1768π

 

 

The length of the wire is 1768π inches. The question asks for an answer in feet, though, so let's divide by 12:

 

(1768π)/12 = (442π)/3

 

 

So, the length of the wire in feet is (442π)/3, which is approximately 462.86 feet.