Convert degrees, radians, gradians and turns.
Units of angle
Angles are commonly measured in degrees (°): one full turn is 360°. In mathematics and physics the radian is the natural unit: a full turn is 2π rad ≈ 6.2832 rad and 1 rad ≈ 57.2958°. The gradian (gon) divides a right angle into 100, so a full circle is 400 grad. 1° = 60 arcminutes and 1 arcminute = 60 arcseconds.
Conversion factors
1 ° = 0.0174533 rad
1 rad = 57.2958 °
One unit converted to all others: Degree (°)
| Unit | Value |
|---|
| Degree (°) | 1 |
| Radian (rad) | 0.0174533 |
| Gradian (grad) | 1.11111 |
| Arcminute (′) | 60 |
| Arcsecond (″) | 3,600 |
| Turn (turn) | 0.00277778 |
Common values
| Degree (°) | Radian (rad) |
|---|
| 1 ° | 0.0174533 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 50 ° | 0.872665 rad |
| 100 ° | 1.74533 rad |
| Radian (rad) | Degree (°) |
|---|
| 1 rad | 57.2958 ° |
| 5 rad | 286.479 ° |
| 10 rad | 572.958 ° |
| 50 rad | 2,864.79 ° |
| 100 rad | 5,729.58 ° |
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