How can AWG diameter be inversely proportional to cross-sectional area?

[Ali Asadullah]

In AWG Gages, how diameter is inversely proportional to the cross-sectional area of the conductor?

 

[berkeman]

In AWG Gages, how diameter is inversely proportional to the cross-sectional area of the conductor?

I'm not sure your question is stated correctly. In all circular wires, the diameter and cross-sectional area are related by the familiar equation

$$A = \pi (\frac{D}{2})^2$$

There is no inverse proportionality between area A and diameter D.

However, the resistance doubles for an increase of each 3 AWG numbers -- maybe that's the relationship you are asking about? And the resistance varies inversely with cross-sectional area. Is that what you are referring to?