Convert AWG wire sizes to square millimeters or find the nearest AWG by absolute area difference, with conductor diameter, circular mils, cm², and square inches. This conversion does not determine ampacity or a safe cable size.

Nominal solid round conductor dimensions, 4/0–40 AWG. This conversion does not determine safe ampacity or choose a cable.

AWG To mm² Formula

The following formula is used to calculate the conversion from American Wire Gauge (AWG) to square millimeters (mm²) for a solid round conductor.

mm² = (π × 0.127² / 4) × 92((36 - AWG) / 19.5)

Variables:

  • mm² is the cross-sectional area in square millimeters
  • AWG is the American Wire Gauge number

To calculate the cross-sectional area in square millimeters, subtract the AWG number from 36. Divide the result by 19.5 and raise 92 to the power of this quotient. Multiply the result by π × 0.127² / 4 (approximately 0.012668).

AWG to mm² Conversion Table (Common Wire Sizes)
AWG Square millimeters (mm²)
400.005
380.008
360.013
340.020
320.032
300.051
280.081
260.129
240.205
220.326
200.518
180.823
161.309
142.081
123.309
105.261
88.366
613.302
421.151
053.475
* Rounded to 3 decimals. Values are typical cross-sectional areas for solid AWG conductors.

What is AWG To mm²?

AWG to mm² is a conversion between an AWG wire size (a standardized gauge number) and a metric cross-sectional area value in square millimeters (mm²). AWG stands for American Wire Gauge, a standard used primarily in North America, while mm² stands for square millimeters, a metric unit used internationally. The larger the AWG number, the smaller the wire diameter and cross-sectional area; conversely, a larger cross-sectional area (mm²) corresponds to a smaller AWG number.

How to Calculate AWG To mm²?

The following steps outline how to calculate the cross-sectional area in square millimeters (mm²) using the formula for AWG to mm² conversion:


  1. First, determine the AWG number.
  2. Next, subtract the AWG number from 36.
  3. Divide the result by 19.5.
  4. Raise 92 to the power of the quotient obtained in the previous step.
  5. Multiply the result by π × 0.127² / 4 (approximately 0.012668).
  6. Finally, calculate the cross-sectional area in mm².
  7. After inserting the AWG number and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge:

AWG number = 18