Degrees to Radians Converter
1 degree ≈ 0.0174532925 radians
1 degree equals 0.0174533 radians
How to convert degrees to radians
One full turn is 360° = 2π rad = 400 gon. A minute or second of arc is an angular unit, distinct from time; decimal displays of factors involving π are approximate.
rad = ° × 0.01745329252One degree is 0.01745329252 radians, so a single multiplication converts any value.
0.174533 rad ≈ 10 × 0.01745329252Degrees to radians conversion table
Common values in degrees, converted to radians.
| Degrees (°) | Radians (rad) |
|---|---|
| 1 | 0.017453293 |
| 5 | 0.087266463 |
| 10 | 0.17453293 |
| 30 | 0.52359878 |
| 45 | 0.78539816 |
| 60 | 1.0471976 |
| 90 | 1.5707963 |
| 180 | 3.1415927 |
| 360 | 6.2831853 |
About these units
degree°
One 360th of a full turn. The everyday angle unit.
radianrad
The SI unit of plane angle: the angle subtending an arc equal to the radius.
Sources and precision
Table results are rounded to 8 significant digits; formula constants may be rounded to 10. Worked example answers use 6 significant digits. The converter starts at 6 significant digits and lets you change display precision. Calculations use the stored factors without intermediate rounding. Exact unit definitions do not make an input measurement more precise; conventional and measured factors follow the assumptions stated here.