° to rad
14 unitsConvert Degree to Radian (° to rad)
1 degree = 0.01745329252 radians. Convert degrees to radians instantly, with the exact factor, the formula and a reference table of common values.
° to rad conversion table
| ° | rad |
|---|---|
| 1 ° | 0.01745329252 rad |
| 2 ° | 0.03490658504 rad |
| 3 ° | 0.05235987756 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 250 ° | 4.36332313 rad |
| 500 ° | 8.72664626 rad |
| 1000 ° | 17.45329252 rad |
What is a degree?
A degree is the everyday way to measure an angle. A full turn is split into 360 equal degrees, so a quarter turn is 90 degrees and a half turn is 180 degrees. The number 360 comes from ancient Babylonian astronomers, who counted in sixties and liked that 360 divides evenly so many ways.
You meet degrees whenever direction or turning matters: a compass bearing, the slope of a roof, the angle of a camera lens, or the corner of a triangle. Each degree can be split further into 60 minutes, and each minute into 60 seconds, which is how map coordinates get their fine detail.
In writing, the degree is usually shortened to "°". One degree is 1 degrees, and that ratio is what every number on this page is built from.
Related conversions
Convert Degree to all angle units
| Conversion | 1 ° equals |
|---|---|
| Degree to circle | 0.002777777778 circle |
| Degree to gon | 1.111111111 gon |
| Degree to grad | 1.111111111 grad |
| Degree to mil | 17.77777778 mil |
| Degree to minute | 59.99999988 arcmin |
| Degree to quadrant | 0.01111111111 quadrant |
| Degree to radian | 0.01745329252 rad |
| Degree to revolution | 0.002777777778 r |
| Degree to right angle | 0.01111111111 right angle |
| Degree to second | 3599.999712 arcsec |
| Degree to sextant | 0.01666666667 sextant |
| Degree to sign | 0.03333333333 sign |
| Degree to turn | 0.002777777778 turn |