Radians to Degrees Converter
Enter a value to instantly convert between angle units.
1 Radian = 57.2958 Degree
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
degrees = radians × (180 ÷ π)When a physics simulation, robotics controller, or signal processing algorithm outputs an angle, it's almost always in radians. Displaying those results to a user — a joint angle readout on a robot arm's HMI, a bearing on a navigation display, a slope in a geotechnical report — requires converting to degrees. Debugging: if your code computes a 'small' angle that seems wildly off, the cause is almost always that radians were fed where degrees were expected (or vice versa).
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
π/2 radians — the right-angle output of an inverse-trig calculation (e.g., atan2 returning π/2 when a robot arm is exactly horizontal).
1.5708 rad = 90 °
30° in radians — a pitch angle output from an IMU sensor, converted for display on a human-readable inclinometer dial.
0.5236 rad = 30 °
π radians — the heading difference between two waypoints directly opposite each other, converted from a navigation algorithm to degrees for display.
3.1416 rad = 180 °
45° camera angle from a 3D render engine — the radian output from a view-frustum calculation, displayed as 45° in the camera properties panel.
0.7854 rad = 45 °