Angle Converter
Converts angles between everyday and mathematical units. Radians are the natural unit for trigonometry and calculus — a full turn is 2π radians rather than 360 degrees.
Result
—
Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.
The formula
result = value × (from factor ÷ to factor)
Each angle unit is defined by its size relative to the radian, so converting between any two is a single multiplication.
Every angle unit
| Unit | Symbol | In one radian |
|---|---|---|
| radian | rad | 1 |
| degree | ° | 57.29578 |
| gradian | grad | 63.661977 |
| turn | turn | 0.15915494 |
| arcminute | ' | 3,437.7468 |
| arcsecond | " | 206,264.81 |
Frequently Asked Questions
How many degrees is one radian?
57.2958°. One radian is the angle where the arc length equals the radius.
How do I convert degrees to radians?
Multiply by π/180. So 90° = π/2 ≈ 1.5708 rad, and 180° = π ≈ 3.14159 rad.
What is a gradian?
A metric angle unit where a right angle is 100 gradians and a full turn is 400. It survives mainly in surveying.