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.

DegreesRadiansMilli-RadiansMicro-RadiansArc-MinutesArc-Seconds% of a rev
10.017455617.455571217,455.57603,6000.2777778
57.288351411,0001,000,0003437.3206,238.115.9134309
0.05728840.001000011,0003.4373011206.240.0159134
0.00005730.00000100.001000010.00343730.20623810.0000159
0.01666660.00029090.2908656290.86561951600.0046296
0.00027780.00000480.00484784.84777970.016666710.0000772
3.60.062857162.857162,857.14321612,9601
3606.28571436,2866,285,71421,6001,296,000100
Binary DigitsCounts per rev.Degrees per bitRadians per bitMilli-Radians per bitMicro-Radians per bitArc-Minutes per bitArc-Seconds per bit
101,0240.35156250.00613556.1354716135.471221.0941265.625
112,0480.17578130.00306773.0677363067.735610.547632.813
124,0960.08789060.00153391.5338681533.86785.273316.460
138,1920.04394530.00076690.766934766.93392.637158.230
1416,3840.02197270.00038350.383467383.46701.31879.102
1532,7680.01098630.00019170.191733191.73350.65939.551
1665,5360.00549320.00009590.09586795.86670.33019.775
17131,0720.00274660.00004790.04793347.93340.1659.888
18262,1440.00137330.00002400.02396723.96670.0284.944
19524,2880.00068660.00001200.01198311.98330.0412.472
201,048,5760.00034330.00000600.0059925.99170.0211.236
212,097,1520.00017170.00000300.0029962.99580.0100.618
224,194,3040.00008580.00000150.0014981.49790.0050.309
238,388,6080.00004290.00000070.0007490.74900.0030.154
2416,777,2160.00002150.00000040.0003740.37450.0010.077