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)Radians are the mathematical standard, but degrees are more intuitive. You'll often need to convert radian outputs from calculators and programming (JavaScript, Python, etc. use radians) back to degrees for human-readable angles. Understanding this conversion is essential for any work involving trigonometry, physics simulations, or graphics programming.
Source: ISO 80000-3:2019 (Quantities and units—Space and time)
Frequently Asked Questions
Real-World Examples
Right angle. π/2 radians = 90°. The 'quarter turn' in rotation.
1.571 rad = 90 °
Straight angle. π radians = 180°. Half a full rotation (180-degree turn).
3.142 rad = 180 °
Diagonal in geometry. π/4 radians = 45°. Common in engineering blueprints.
0.785 rad = 45 °
Full rotation. 2π radians = 360°. One complete circle.
6.283 rad = 360 °