About Angle Converter Tool
Published: Last Updated:
This Angle Converter converts between degrees (°), radians (rad), gradians (grad/gon), and turns (full rotations). Shows π-based radian values (e.g. π/4, π/2, 2π) for common angles. Used in mathematics, physics, engineering, and computer graphics.
Key Features
- Converts degrees, radians, gradians, and turns.
- Shows π-based notation for common radian values.
- Real-time conversion.
- Runs in your browser.
How to Use the Tool
- Enter an angle value.
- Select the input unit.
- All equivalent angles appear instantly.
Core Benefits
- Programming: convert degrees to radians for Math.sin(), Math.cos() functions (which take radians).
- Engineering CAD: convert between degree and gradian systems.
- Navigation: convert bearing angles.
Common Use Cases
- JavaScript math: Math.cos(angle) requires radians — convert 45° to π/4 = 0.7854 rad.
- Converting a GPS bearing from degrees to radians for trigonometric calculations.
- Surveying: converting between degrees and gradians (400 grad = 360°).
Pro Tips
- 180° = π radians ≈ 3.14159 rad. 90° = π/2 ≈ 1.5708 rad. 360° = 2π ≈ 6.2832 rad.
- 1 gradian = 0.9 degrees. 400 gradians = 360 degrees. Mainly used in surveying.
- For JavaScript trig: radians = degrees × (Math.PI / 180).
Use this free Angle Converter to instantly convert between units. Works in any browser on any device — no sign-up required.