MM² to AWG Calculator

Convert conductor area between mm² and AWG. Compare resistance, diameter, nearby sizes, and voltage-drop estimates. Use clear engineering results for practical wire selection decisions.

Calculator Inputs

Enter a positive conductor cross-sectional area.

Conductor Properties


Electrical Estimate Options

A user-selected engineering target, not a code ampacity.

Formula Used

AWG follows a logarithmic diameter progression with ninety-two size ratio. Area comes from the equivalent circular conductor diameter. These formulas compare nominal areas across standard gauge sizes.

d(in) = 0.005 × 92^((36 − AWG) / 39)
A(mm²) = π ÷ 4 × (25.4 × d(in))²
AWG = 36 − 19.5 × log(A ÷ 0.012668) ÷ log(92)
R = ρ × L ÷ A
Vdrop(single-phase or DC) = 2 × I × L × Rper-meter
Vdrop(three-phase) = √3 × I × L × Rper-meter

How to Use This Calculator

Select a conversion direction, then enter area or AWG. Add conductor and circuit details for advanced estimates. Review nearby sizes before choosing a practical installation conductor.

  1. Choose area-to-AWG or AWG-to-area conversion.
  2. Select the input unit and rounding preference.
  3. Choose copper or aluminum, plus conductor construction.
  4. Enter circuit details for voltage-drop and power-loss estimates.
  5. Calculate, compare nearby sizes, then export results.

Example Conversion Data

Entered area Approximate AWG Nearest standard size Standard area
0.50 mm² 20.15 20 AWG 0.518 mm²
0.75 mm² 18.40 18 AWG 0.823 mm²
1.00 mm² 17.16 17 AWG 1.038 mm²
1.50 mm² 15.41 15 AWG 1.650 mm²
2.50 mm² 13.21 13 AWG 2.624 mm²
4.00 mm² 11.18 11 AWG 4.172 mm²
6.00 mm² 9.43 9 AWG 6.634 mm²
10.00 mm² 7.23 7 AWG 10.549 mm²
16.00 mm² 5.20 5 AWG 16.773 mm²
25.00 mm² 3.28 3 AWG 26.670 mm²

AWG Reference Table

AWG Diameter (mm) Diameter (in) Area (mm²) Circular mils Copper Ω/km Aluminum Ω/km
0000 11.6840 0.46000 107.21930 211,600 0.1608 0.2636
000 10.4049 0.40964 85.02877 167,806 0.2028 0.3324
00 9.2658 0.36480 67.43088 133,077 0.2557 0.4192
0 8.2515 0.32486 53.47512 105,535 0.3224 0.5285
1 7.3481 0.28930 42.40770 83,693 0.4066 0.6665
2 6.5437 0.25763 33.63083 66,371 0.5127 0.8404
3 5.8273 0.22942 26.67046 52,635 0.6464 1.0597
4 5.1894 0.20431 21.15064 41,741 0.8152 1.3363
5 4.6213 0.18194 16.77322 33,102 1.0279 1.6851
6 4.1154 0.16202 13.30177 26,251 1.2961 2.1248
7 3.6649 0.14429 10.54878 20,818 1.6344 2.6794
8 3.2636 0.12849 8.36556 16,510 2.0609 3.3786
9 2.9064 0.11442 6.63419 13,093 2.5988 4.2604
10 2.5882 0.10190 5.26115 10,383 3.2770 5.3722
11 2.3048 0.09074 4.17229 8,234 4.1323 6.7742
12 2.0525 0.08081 3.30877 6,530 5.2107 8.5421
13 1.8278 0.07196 2.62398 5,178 6.5706 10.7714
14 1.6277 0.06408 2.08091 4,107 8.2853 13.5825
15 1.4495 0.05707 1.65023 3,257 10.4476 17.1273
16 1.2908 0.05082 1.30870 2,583 13.1742 21.5971
17 1.1495 0.04526 1.03784 2,048 16.6123 27.2334
18 1.0237 0.04030 0.82305 1,624 20.9478 34.3407
19 0.9116 0.03589 0.65271 1,288 26.4147 43.3028
20 0.8118 0.03196 0.51762 1,022 33.3083 54.6038
21 0.7229 0.02846 0.41049 810 42.0009 68.8542
22 0.6438 0.02535 0.32553 642 52.9622 86.8235
23 0.5733 0.02257 0.25816 509 66.7841 109.4824
24 0.5106 0.02010 0.20473 404 84.2132 138.0548
25 0.4547 0.01790 0.16236 320 106.1909 174.0839
26 0.4049 0.01594 0.12876 254 133.9043 219.5157
27 0.3606 0.01420 0.10211 202 168.8502 276.8042
28 0.3211 0.01264 0.08098 160 212.9161 349.0437
29 0.2859 0.01126 0.06422 127 268.4823 440.1359
30 0.2546 0.01003 0.05093 101 338.5499 555.0012
31 0.2268 0.00893 0.04039 80 426.9036 699.8435
32 0.2019 0.00795 0.03203 63 538.3155 882.4864
33 0.1798 0.00708 0.02540 50 678.8033 1,112.7948
34 0.1601 0.00630 0.02014 40 855.9551 1,403.2084
35 0.1426 0.00561 0.01597 32 1,079.3395 1,769.4131
36 0.1270 0.00500 0.01267 25 1,361.0219 2,231.1887
37 0.1131 0.00445 0.01005 20 1,716.2170 2,813.4770
38 0.1007 0.00397 0.00797 16 2,164.1097 3,547.7290
39 0.0897 0.00353 0.00632 12 2,728.8919 4,473.6037
40 0.0799 0.00314 0.00501 10 3,441.0692 5,641.1101

Frequently Asked Questions

What is the difference between mm² and AWG?

Millimeters squared directly describe a conductor cross-sectional area. AWG represents diameter through a logarithmic gauge sequence. Both systems identify conductor size using different numerical conventions.

How does the calculator convert mm² to AWG?

The calculator converts area into an equivalent circular diameter. It then applies the standard logarithmic AWG relationship. Nearby standard sizes reveal practical choices around the result.

Why does a smaller AWG number mean larger wire?

AWG developed from repeated wire-drawing steps during manufacturing. More drawing operations produced thinner wires and higher numbers. Therefore lower gauge numbers indicate larger conductor cross-sections today.

Is every mm² value an exact AWG size?

No, metric areas rarely match nominal AWG sizes perfectly. The calculator reports an exact mathematical gauge before rounding. Compare differences before selecting the nearest usable standard conductor.

Should I choose a larger or smaller wire?

Larger conductors usually reduce resistance and voltage drop. Smaller conductors may overheat when improperly selected or installed. Use verified design requirements before making final installation decisions.

Does stranded wire have the same area as solid wire?

Equal nominal areas contain similar conductive material across constructions. Stranded bundles usually have larger overall bare diameters. Strand arrangement, compaction, and insulation determine actual finished dimensions.

Is copper AWG different from aluminum AWG?

AWG geometry remains unchanged for copper and aluminum conductors. Their resistivity values differ, affecting resistance and voltage drop. Aluminum commonly needs greater area for comparable electrical performance.

Can this calculator determine wire ampacity?

It provides a configurable current-density estimate for preliminary planning. Real ampacity depends on insulation, temperature, bundling, and installation. Always apply governing codes and verified manufacturer conductor data.

What is circular-mil area?

A circular mil is the area of one mil-diameter circle. Electrical industries use circular mils for conductor cross-sections. One circular mil equals approximately 0.000506707 square millimeters.

How accurate is the conversion?

The mathematical conversion is accurate for nominal AWG geometry. Manufactured conductors can vary within applicable dimensional and resistance tolerances. Stranded outside-diameter estimates remain approximate without detailed construction specifications.

Can I convert AWG back to mm²?

Yes, select AWG-to-area and choose the desired gauge. The calculator returns area, diameter, resistance, and nearby sizes. Export tools preserve those results for later comparison records.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.