Angular Resolutions

Angular Conversions

AccuGroup 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.
10.017455617.455571217455.57600.2777778
57.28835141100010000003437.315.9134309
0.05728840.001000011,0003.43730110.0159134
0.00005730.00000100.001000010.00343730.0000159
0.01666660.00029090.2908656290.865619510.0046296
0.00027780.00000480.00484784.84777970.01666670.0000772
3.60.062857162.857162857.1432161
3606.28571436286628571421600100

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
7128168.7549.087
825684.37524.544
951242.18812.272
10102421.0946.1359
11204810.5473.0680
1240965.27341.5340
1381922.63670.76699
14163841.31840.38350
15327680.659180.19175
16655360.329590.095874
171310720.164790.047937
182621440.08233970.023968
195242880.0411990.011984
2010485760.0205990.0059921

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