Angle Conversion Tables

Published on May 7, 2019

We have compiled a series of look-up tables to help engineers convert between the most common angular units. This is particularly useful when specifying requirements for a new angular position sensor. Degrees Radians Milli-Radians Micro-Radians Arc- Minutes Arc- Seconds % of rev 1 0.0174556 17.4555712 17 455.57 60 3 57.2883514 1 1 000 1 000…

We have compiled a series of look-up tables to help engineers convert between the most common angular units. This is particularly useful when specifying requirements for a new angular position sensor.

Degrees	Radians	Milli-Radians	Micro-Radians	Arc- Minutes	Arc- Seconds	% of rev
1	0.0174556	17.4555712	17	455.57	60	3
57.2883514	1	1	000	1	000	000
0.0572884	0.0010000	1	1	000	3.4373011	206.24
0.0000573	0.0000010	0.0010000	1	0.0034373	0.2062381	0.0000159
0.0166666	0.0002909	0.2908656	290.8656195	1	60	0.0046296
0.0002778	0.0000048	0.0048478	4.8477797	0.0166667	1	0.0000772
3.6	0.0628571	62.8571	62	857.143	216	12
360	6.2857143	6	286	6	285	714

Binary Digits	Counts per rev.	Degrees per Bit	Radians per Bit	Mili- Radians per Bit	Micro- Radians per Bit	Arc- Minutes Per Bit	Arc- Seconds Per Bit
10	1	024	0.3515625	0.0061355	6.135471	6135.4712	21.094
11	2	048	0.1757813	0.0030677	3.067736	3067.7356	10.547
12	4	096	0.0878906	0.0015339	1.533868	1533.8678	5.273
13	8	192	0.0439453	0.0007669	0.766934	766.9339	2.637
14	16	384	0.0219727	0.0003835	0.383467	383.4670	1.318
15	32	768	0.0109863	0.0001917	0.191733	191.7335	0.659
16	65	536	0.0054932	0.0000959	0.095867	95.8667	0.330
17	131	072	0.0027466	0.0000479	0.047933	47.9334	0.165
18	262	144	0.0013733	0.0000240	0.023967	23.9667	0.082
19	524	288	0.0006866	0.0000120	0.011983	11.9833	0.041
20	1	048	576	0.0003433	0.0000060	0.005992	5.9917
21	2	097	152	0.0001717	0.0000030	0.002996	2.9958
22	4	194	304	0.0000858	0.0000015	0.001498	1.4979
23	8	388	608	0.0000429	0.0000007	0.000749	0.7490
24	16	777	216	0.0000215	0.0000004	0.000374	0.3745

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