Angle Converter
Degrees and radians.
From method
Value
To method
Result
Degree (°) → Radian (rad)
1 deg = 0.017453 rad
Practical uses
Useful for math, graphics programming, and engineering where switching between degrees and radians is common.
- History: Degrees date back to ancient astronomy and calendars (360° is a convenient, divisible circle). Radians are a mathematical unit tied to arc length and simplify calculus and trigonometry.
- Key formulas: radians = degrees × π / 180; degrees = radians × 180 / π.
- Examples: 180° = π rad; 90° = π/2 ≈ 1.5708 rad; 45° ≈ 0.7854 rad; 2 rad ≈ 114.5916°.
- Programming: Convert degrees to radians before calling trigonometric functions (e.g., Math.sin expects radians). Useful when building rotation matrices or animation curves.
- Mapping & robotics: Bearings and headings are often shown in degrees for readability but computed in radians for algorithms, sensor fusion and motion control.
- Education & tools: This converter helps students and engineers avoid unit mistakes, visualize rotations, and prototype math code quickly.
- Try these: convert 30° → radians for a rotation matrix, convert 270° → radians for clockwise rotations, or turn sensor radians into degrees for dashboards.
- Implementation note: This converter uses radians as the internal base unit to minimize rounding errors during conversions.
- Tips: When working with angles, be mindful of the context—degrees are often more intuitive for humans, whereas radians are preferred in mathematical computations.
- Related converters: For linear measurements related to angles, consider using the Length Converter.
- References: Standard mathematical texts and programming documentation (e.g., MDN Web Docs) provide more details on angle units and conversions.
- Accuracy note: This converter maintains high precision by converting input values to an internal base and then to the requested target unit to ensure consistent results across unit types.
- Further reading: Explore more about angle measurement and applications in trigonometry textbooks and online resources like Khan Academy or Wolfram MathWorld.
- Feedback: If you have suggestions for additional features or improvements, please reach out via our feedback page.