To solve the problem, we'll need to convert the given diameter in inches to centimeters and then find the radius from that diameter. Here's the step-by-step process:
1. Convert Diameter from Inches to Centimeters:
- We know the diameter of the wire in inches is 0.0285 inches.
- Since 1 inch is equal to 2.54 centimeters, we convert the diameter by multiplying the inch value by 2.54.
[tex]\[
\text{Diameter in cm} = 0.0285 \, \text{inches} \times 2.54 \, \text{cm/inch} = 0.07239 \, \text{cm}
\][/tex]
2. Calculate the Radius in Centimeters:
- The radius is half of the diameter.
[tex]\[
\text{Radius in cm} = \frac{\text{Diameter in cm}}{2} = \frac{0.07239 \, \text{cm}}{2} = 0.036195 \, \text{cm}
\][/tex]
Therefore, the radius of a number 10 AWG wire is approximately 0.036195 centimeters.
