Unit Conversions   Angle

Conversion Degree to Radian

A degree (in full, a degree of arc), usually denoted by o (the degree symbol), is a measurement of plane angle, representing 1/360 of a full rotation. One degree is equivalent to π/180 radians. The π has infinite decimal digits. For all calculations the π considered to be equal to 3.14159265358979323846.

This tool converts degrees to radians (deg to rad) and vice versa. 1 degree ≈ 0.01745 radians. The user must fill one of the two fields and the conversion will become automatically.

 
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1 degrees = 0.01745 radians

 

Formula degrees in radians (deg in rad). Rad = deg*(2π)/360 ≈ deg*0.01745

 

Conversions degrees to other units

Degree to Radian Degree to Arcminute Degree to Arcsecond
Degree to Gradian Degree to Gon Degree to Cycle

  

Table degrees to radians
1 degrees = 0.01745 radians 11 degrees = 0.192 radians 21 degrees = 0.3665 radians
2 degrees = 0.03491 radians 12 degrees = 0.2094 radians 22 degrees = 0.384 radians
3 degrees = 0.05236 radians 13 degrees = 0.2269 radians 23 degrees = 0.4014 radians
4 degrees = 0.06981 radians 14 degrees = 0.2443 radians 24 degrees = 0.4189 radians
5 degrees = 0.08727 radians 15 degrees = 0.2618 radians 25 degrees = 0.4363 radians
6 degrees = 0.10472 radians 16 degrees = 0.2793 radians 26 degrees = 0.4538 radians
7 degrees = 0.12217 radians 17 degrees = 0.2967 radians 27 degrees = 0.4712 radians
8 degrees = 0.13963 radians 18 degrees = 0.3142 radians 28 degrees = 0.4887 radians
9 degrees = 0.15708 radians 19 degrees = 0.3316 radians 29 degrees = 0.5061 radians
10 degrees = 0.1745 radians 20 degrees = 0.3491 radians 30 degrees = 0.5236 radians
40 degrees = 0.6981 radians 70 degrees = 1.2217 radians 100 degrees = 1.7453 radians
50 degrees = 0.8727 radians 80 degrees = 1.3963 radians 110 degrees = 1.92 radians
60 degrees = 1.0472 radians 90 degrees = 1.5708 radians 120 degrees = 2.094 radians
200 degrees = 3.491 radians500 degrees = 8.727 radians800 degrees = 13.963 radians
300 degrees = 5.236 radians600 degrees = 10.472 radians900 degrees = 15.708 radians
400 degrees = 6.981 radians700 degrees = 12.217 radians1000 degrees = 17.453 radians

  

Angle Converters

Radian to Degree Radian to Arcminute Radian to Arcsecond
Radian to Gradian Radian to Gon Radian to Cycle
Arcminute to Radian Arcminute to Degree Arcminute to Arcsecond
Arcminute to Gradian Arcminute to Gon Arcminute to Cycle
Arcsecond to Radian Arcsecond to Degree Arcsecond to Arcminute
Arcsecond to Gradian Arcsecond to Gon Arcsecond to Cycle
Gradian to Radian Gradian to Degree Gradian to Arcminute
Gradian to Arcsecond Gradian to Gon Gradian to Cycle
Gon to Radian Gon to Degree Gon to Arcminute
Gon to Arcsecond Gon to Gradian Gon to Cycle
Cycle to Radian Cycle to Degree Cycle to Arcminute
Cycle to Arcsecond Cycle to Gradian Cycle to Gon