Use this AWG to mm² calculator to convert between two different wire sizing systems: the American Wire Gauge (AWG) and metric square millimeter (mm²) measurement.
The AWG system is predominantly used in North America and dates back to 1857. It uses a logarithmic scale to denote wire diameters, with lower numbers indicating thicker wires. For example, AWG 0 is thicker than AWG 10.
AWG to MM2 Calculator
AWG | Calculation | mm² (calculated) | mm² (rounded) |
---|---|---|---|
0000 (4/0) | 0.012668 * 92^((36-(-3))/19.5) | 107.22 | 107.2 |
1/0 | 0.012668 * 92^((36-(-1))/19.5) | 53.48 | 53.5 |
3 | 0.012668 * 92^((36-3)/19.5) | 26.67 | 26.7 |
7 | 0.012668 * 92^((36-7)/19.5) | 10.55 | 10.6 |
11 | 0.012668 * 92^((36-11)/19.5) | 4.17 | 4.17 |
15 | 0.012668 * 92^((36-15)/19.5) | 1.65 | 1.65 |
19 | 0.012668 * 92^((36-19)/19.5) | 0.653 | 0.65 |
23 | 0.012668 * 92^((36-23)/19.5) | 0.258 | 0.26 |
27 | 0.012668 * 92^((36-27)/19.5) | 0.102 | 0.10 |
31 | 0.012668 * 92^((36-31)/19.5) | 0.0404 | 0.040 |
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AWG to mm² Conversion Formula
The general formula to convert AWG to mm² is:
A = π * (d/2)²
Where:
- A is the cross-sectional area in mm²
- d is the diameter of the wire in mm
To find d, we use the AWG number in the following formula:
d = 0.127 * 92^((36-n)/39)
Where n is the AWG number.
Combining these formulas, we get:
A = π (0.127 92^((36-n)/39) / 2)²
This formula can be simplified to:
A ≈ 0.012668 * 92^((36-n)/19.5)
While this formula provides the exact conversion, it’s important to note that in practical applications, wire sizes are often rounded to standard values.
AWG to mm² Chart
AWG | mm² (approx.) |
---|---|
0000 | 107.2 |
000 | 85.0 |
00 | 67.4 |
0 | 53.5 |
1 | 42.4 |
2 | 33.6 |
2.5 | 33.6 |
4 | 21.2 |
5 | 16.7 |
6 | 13.3 |
8 | 8.37 |
10 | 5.26 |
12 | 3.31 |
14 | 2.08 |
16 | 1.31 |
17 | 1.0 |
18 | 0.823 |
20 | 0.518 |
22 | 0.326 |
24 | 0.205 |
26 | 0.129 |
28 | 0.0810 |
30 | 0.0509 |