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

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
Circles
asked 2020-12-02
Determine the length of wire in feet in a coil of 65 turns if the average diameter of the coil is 27.20 inches.

Answers (1)

2020-12-03
Use the circumference formula with diameter d:
\(\displaystyle{C}=π{d}\)
There are 65 turns so we consider 65 times the circumference:
\(\displaystyle{65}×π{\left({27.20}\right)}={1768}π\) inches
We need the answer in feet. Recall that 1 foot = 12 inches so:
\(\displaystyle{1768}π\in{c}{h}{e}{s}×{1}{f}\frac{{t}}{{12}}\in.={\left({442}
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