How do I convert degrees to radians?
Angle converter: degrees, radians, gradians, turns. Type a value in one unit, see it instantly in all the others.
Useful in math, programming, physics, surveying, anywhere one program expects degrees and another expects radians.
How to use it
- Type a value and pick a unit (e.g. degrees, radians).
- The other angle units show the conversion automatically.
- Click any tile to copy the result.
When this is useful
Six typical situations where the converter gives a concrete answer instead of a guess:
- Programming and trigonometric functions. "How many radians is 90°?" (π/2 ≈ 1.5708). Math.sin, Math.cos in nearly every language expect radians, not degrees.
- Game development. Object rotations in Unity, Unreal, Three.js. Some engines use degrees, others radians.
- CAD and 3D design. AutoCAD, Fusion 360, Blender mix units across panels.
- Surveying in Europe. France and Germany use gradians (gon). A full angle = 400 gradians (instead of 360°). Used in surveying and topographic maps.
- Navigation. Bearings in degrees (0-360°). A ship on bearing 90° is heading east.
- Education and math. Trigonometry homework. Sin(60°) vs sin(π/3): same value.
Questions and answers
180° = π radians ≈ 3.14159. Because a full circle (360°) is 2π radians. 90° = π/2 ≈ 1.57. 360° = 2π ≈ 6.28.