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AWG to mm Calculator

Convert American Wire Gauge to millimetres, inches and cross-sectional area — or go the other way and find which AWG a given diameter corresponds to. Values come from the exact AWG definition, the same formula behind the tabulated ASTM B258 figures.

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Diameter: — in  =  — mm
Cross-sectional area: — mm²

How the conversion works

The AWG system is defined by a geometric progression, not by a lookup table. The diameter of gauge number n in inches is:

d(in) = 0.005 × 92(36−n)/39

Two fixed points anchor the scale: AWG 36 is exactly 0.005 in, and AWG 0000 (four aught) is exactly 0.46 in. The ratio between successive sizes is the 39th root of 92, which is roughly 1.1229 — so stepping one gauge changes the diameter by about 12.3%, and the cross-sectional area by about 26%. Multiplied by 25.4 to get millimetres, and the area follows from the circle formula A = π/4 × d².

This is the same definition that produces the published ASTM B258 tables, which is why the numbers here match those tables exactly rather than approximately.

Selected values

GaugeDiameter (mm)Area (mm²)
AWG 08.251553.4751
AWG 26.543733.6308
AWG 45.189421.1506
AWG 64.115413.3018
AWG 83.26368.3656
AWG 102.58825.2612
AWG 122.05253.3088
AWG 141.62772.0809
AWG 161.29081.3087
AWG 181.02370.8230
AWG 200.81180.5176
AWG 220.64380.3255
AWG 240.51060.2047
AWG 260.40490.1288
AWG 280.32110.0810
AWG 300.25460.0509

Standard: ASTM B258 (AWG definition)  ·  Data checked: 2026-10-14

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