An angle measures the opening between two lines that meet at a point. The degree (°) divides a full turn into 360 parts; each degree has 60 minutes and each minute 60 seconds of arc.
The radian (rad), the SI unit, is the ratio of an arc’s length to its radius: a full turn is 2π radians, and 1 radian is about 57.3 degrees. The gradian divides a full turn into 400 parts and is still used in surveying.
| Unit | Symbol | Value in radian |
|---|---|---|
| Radian | rad | 1 rad |
| 1/16 circle | per 16 circle | 0.3926991 rad |
| Degree | ° | 0.01745329 rad |
| Grad | gr | 0.01570796 rad |
| Minute | ' | 0.0002908882 rad |
| Mil | – | 0.0009817477 rad |
1 1/16 circle = 22.5 degree.
1 degree = 0.01745329 radian.
1 radian = 57.29578 degree.
The SI unit of angles is the radian (rad). All other units in the table above are given as a multiple of it.
This converter supports 14 angles units, from radian to full circle. Choose any two of them to get the result, the formula and a conversion table.