Unit converter
Radians to degrees.
Convert rad to ° and ° to rad. Type in either box and the other follows. One radian is 57.2958°, an awkward number precisely because the radian is defined by the circle rather than by counting.
| rad | ° |
|---|---|
| 0.1 rad | 5.72958 ° |
| 0.25 rad | 14.3239 ° |
| 0.5 rad | 28.6479 ° |
| 1 rad | 57.2958 ° |
| 1.5 rad | 85.9437 ° |
| 2 rad | 114.592 ° |
| 3 rad | 171.887 ° |
| 3.1416 rad | 180 ° |
| 4 rad | 229.183 ° |
| 5 rad | 286.479 ° |
| 6 rad | 343.775 ° |
| 6.2832 rad | 360.001 ° |
- Conversion goes through rad in both directions, so neither figure is rounded on the way.
Definitions
- The radian is the SI unit of angle: the angle subtending an arc equal to the radius. A full turn is 2π radians.
- The degree divides a full turn into 360, a Babylonian convention that survives because 360 divides so many ways.
- This conversion is exact by definition. 1 rad = 57.29577951 °.
- Angle is converted through rad.
How it works
One direction multiplies and the other divides by the same number, so nothing is lost by going back and forth.
The value passes through rad, the unit every other angle unit on the site is defined against, rather than a number written into this page on its own. That is why the figure here, the figure in the table above and the general angle converter always agree.
Display precision sets a maximum number of significant figures and trims trailing zeroes, so it changes what you see and never what was calculated. The editable box always holds a plain number at full working precision, so you can carry on from either side.
Common questions this answers: how many degrees in a radian (57.2958), how many radians in a degree (0.0174533), and what 1 rad is in degrees (57.2958 °).
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