How many degrees are in one radian?
One radian is about 57.29577951 degrees.
Convert Radian (rad) to Degree (°) instantly.
Calculation
value × 57.2957795131
| Quick Conversion | Converted |
|---|---|
| 1 rad | 57.29578 ° |
| 5 rad | 286.478898 ° |
| 10 rad | 572.957795 ° |
| 100 rad | 5,729.577951 ° |
| 1,000 rad | 57,295.779513 ° |
A radian is an angle unit where the arc length equals the radius of the circle.
Radians became central in mathematics because they simplify relationships between angles, arcs, and trigonometric functions.
Radians are used in trigonometry, calculus, physics, engineering, robotics, programming, and signal analysis.
A degree is an angle unit equal to one three-hundred-sixtieth of a full circle.
Degrees have ancient roots in astronomy and geometry and remain the most familiar everyday angle unit.
Degrees are used in geometry, navigation, surveying, mapping, drafting, weather direction, and user-facing angle measurements.
Mathematically, degree (°) = radian (rad) converted with the formula below.
1 rad = 57.29578 °
1 ° = 0.017453 rad
Formula: value × 57.2957795131
Example: 15 rad = 859.436693 °
Precision note: Use degrees = radians x 180 / pi. Keep enough pi precision for the calculation before rounding the displayed degree value.
1 rad = 57.29578 °
1 ° = 0.017453 rad
| Radian [rad] | Degree [°] |
|---|---|
| 0.01 rad | 0.572958 ° |
| 0.1 rad | 5.729578 ° |
| 1 rad | 57.29578 ° |
| 2 rad | 114.591559 ° |
| 5 rad | 286.478898 ° |
| 10 rad | 572.957795 ° |
| 20 rad | 1,145.91559 ° |
| 50 rad | 2,864.788976 ° |
| 100 rad | 5,729.577951 ° |
One radian is about 57.29577951 degrees.
Pi radians equals 180 degrees.
Degrees are easier for many readers to interpret visually, even when radians are better for calculation.