How To Convert American Wire Gauge Into Square Area?

What is the formula for converting American wire gauge to square area? Once the quantity and size of the copper wires are known,

Formula: S(area)=0.7854ND² (N: Number of the core wires; D: Outer Diameter of the copper wires)
For example: 7/0.08, Area =0.7854×7×0.08×0.08=0.0352mm² ≈32AWG

figure 1 comparison table of awg 1 — Figure 1 convert American wire gauge into square area

AWG	Outer Diameter mm	Outer Diameter inch	area mm²	Resistance ohm/KM
4/0	11.68	0.46	107.22	0.17
3/0	10.40	0.4096	85.01	0.21
2/0	9.27	0.3648	67.43	0.26
1/0	8.25	0.3249	53.49	0.33
1	7.35	0.2893	42.41	0.42
2	6.54	0.2576	33.62	0.53
3	5.83	0.2294	26.67	0.66
4	5.19	0.2043	21.15	0.84
5	4.62	0.1819	16.77	1.06
6	4.11	0.1620	13.30	1.33
7	3.67	0.1443	10.55	1.68
8	3.26	0.1285	8.37	2.11
9	2.91	0.1144	6.63	2.67
10	2.59	0.1019	5.26	3.36
11	2.30	0.0907	4.17	4.24
12	2.05	0.0808	3.332	5.31
13	1.82	0.0720	2.627	6.69
14	1.63	0.0641	2.075	8.45
15	1.45	0.0571	1.646	10.6
16	1.29	0.0508	1.318	13.5
17	1.15	0.0453	1.026	16.3
18	1.02	0.0403	0.8107	21.4
19	0.912	0.0359	0.5667	26.9
20	0.813	0.0320	0.5189	33.9
21	0.724	0.0285	0.4116	42.7
22	0.643	0.0253	0.3247	54.3
23	0.574	0.0226	0.2588	48.5
24	0.511	0.0201	0.2047	89.4
25	0.44	0.0179	0.1624	79.6
26	0.404	0.0159	0.1281	143
27	0.361	0.0142	0.1021	128
28	0.32	0.0126	0.0804	227
29	0.287	0.0113	0.0647	289
30	0.254	0.0100	0.0507	361
31	0.226	0.0089	0.0401	321
32	0.203	0.0080	0.0316	583
33	0.18	0.0071	0.0255	944
34	0.16	0.0063	0.0201	956
35	0.142	0.0056	0.0169	1200
36	0.127	0.0050	0.0127	1530
37	0.114	0.0045	0.0098	1377
38	0.102	0.0040	0.0081	2400
39	0.089	0.0035	0.0062	2100
40	0.079	0.0031	0.0049	4080
41	0.071	0.0028	0.0040	3685
42	0.064	0.0025	0.0032	6300
43	0.056	0.0022	0.0025	5544
44	0.051	0.0020	0.0020	9180
45	0.046	0.0018	0.0016	10200
46	0.041	0.0016	0.0013	16300

AWG and mm² comparison table

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