found for  . View all results.
Return to General Technical Information

Angular Resolutions

Angular Conversions

Accu have compiled a series of basic tables for conversion of angular measurements between degrees, radians and arcminutes.

A circle is divided into 360 degrees, and each degree is divided up into 60 smaller measurements, called arcminutes. Radians are an alternative unit of angular measurement which are favourable in certain applications. Degrees are commonly used and widely understood, but radians are a more natural form of angular measurement which relate more closely with pi, making them favourable in certain mathematical formulae.

DegreesRadiansMilliradiansMicroradiansArcminutes% of a Rev.
1 0.0174556 17.4555712 17455.57 60 0.2777778
57.2883514 1 1000 1000000 3437.3 15.9134309
0.0572884 0.0010000 1 1,000 3.4373011 0.0159134
0.0000573 0.0000010 0.0010000 1 0.0034373 0.0000159
0.0166666 0.0002909 0.2908656 290.8656195 1 0.0046296
0.0002778 0.0000048 0.0048478 4.8477797 0.0166667 0.0000772
3.6 0.0628571 62.8571 62857.143 216 1
360 6.2857143 6286 6285714 21600 100

Rotary Encoders

The following table applies the previous measurements to figures which are commonly used alongside rotary encoders, which are used for digitised angular positioning:

Binary Digits (Bits)Counts per Rev.Arcminutes per BitMilliradians per Bit
7 128 168.75 49.087
8 256 84.375 24.544
9 512 42.188 12.272
10 1024 21.094 6.1359
11 2048 10.547 3.0680
12 4096 5.2734 1.5340
13 8192 2.6367 0.76699
14 16384 1.3184 0.38350
15 32768 0.65918 0.19175
16 65536 0.32959 0.095874
17 131072 0.16479 0.047937
18 262144 0.0823397 0.023968
19 524288 0.041199 0.011984
20 1048576 0.020599 0.0059921
Support
Your Browsing History.