Angle Converter
Degrees, radians, gradians, turns and arc minutes/seconds. One full turn is 360° = 2π rad = 400 grad.
0.0174532925 rad
1 ° = 0.0174532925 rad
1 degree in every angle unit
radian0.017453293 rad
gradian1.1111111 grad
turn0.0027777778 turn
arcminute60 ′
arcsecond3,600 ″
degree to radian table
| degree (°) | radian (rad) |
|---|---|
| 1 | 0.017453293 |
| 2 | 0.034906585 |
| 5 | 0.087266463 |
| 10 | 0.17453293 |
| 20 | 0.34906585 |
| 50 | 0.87266463 |
| 100 | 1.7453293 |
| 250 | 4.3633231 |
| 500 | 8.7266463 |
| 1,000 | 17.453293 |
Units and factors
| Unit | Symbol | In radians |
|---|---|---|
| degree | ° | 0.0174532925 |
| radian | rad | 1 |
| gradian | grad | 0.0157079633 |
| turn | turn | 6.283185307 |
| arcminute | ′ | 0.0002908882 |
| arcsecond | ″ | 0.0000048481 |
Single conversions
Questions people ask
How do I convert degrees to radians?
Multiply by 0.0174532925. For example 10 ° = 0.17453293 rad.
What is the base unit for angle?
The converter uses the radian as its internal base. Every unit is converted to radians and then to the target unit, so any pair of units works.
Where do the conversion factors come from?
From the legal definitions published in NIST Special Publication 811 and the SI Brochure (BIPM). Where a unit is defined exactly, the factor is exact.