Angle Converter
Convert between degrees, radians, gradians, and turns. Essential for trigonometry, navigation, and engineering calculations.
What is Angle Converter?
This angle converter translates between degrees, radians, gradians (gon), turns (revolutions), minutes of arc, and seconds of arc. Shows the relationship between these systems and common angle values used in geometry and trigonometry.
How to Use This Calculator
- Enter your Value, From in the input fields provided
- Results are computed instantly as you enter or modify values — no need to click a button
- Review the computed output showing your angle results with a detailed breakdown
- Copy the converted value or try additional unit combinations — the conversion factor is shown for reference
How Angle Converter is Calculated
This calculator uses the formula: Radians = Degrees × π/180 | Gradians = Degrees × 10/9. Where Full circle = 360° = 2π rad = 400 grad = 1 turn. Radians are natural for calculus and physics. One radian ≈ 57.3°. All calculations run entirely in your browser — no data is transmitted to any server.
Frequently Asked Questions
How do I convert degrees to radians?
Radians = Degrees × π/180. 90° = π/2 rad. 180° = π rad. 360° = 2π rad. 45° = π/4 rad. Quick reference: 1 radian ≈ 57.3°. Calculus and physics typically use radians.
What are gradians used for?
Gradians divide a right angle into 100 grads (vs 90 degrees). A full circle = 400 grad. Used in some European surveying instruments. 1 grad = 0.9 degrees. Most scientific and engineering work uses degrees or radians.
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Why This Calculator Matters
Unit conversion errors have caused billion-dollar disasters (the Mars Climate Orbiter was lost due to a unit mismatch). Angle Converter provides instant, accurate conversions between all standard units. Whether you are working with international specifications, cooking with foreign recipes, or comparing products sold in different units, getting conversions right matters.
What You Get
- Instant Angle Converter calculation with validated formulas
- Detailed step-by-step result breakdown
- Works offline as a Progressive Web App
- Completely free — no signup or data collection
- Mobile-friendly responsive design
- Save and share your results easily
Practical Advice
- 💡 Double-check conversions for critical applications — this tool helps but verify for high-stakes use.
- 💡 Learn the most common conversion factors in your field for quick mental math.
- 💡 When working across systems (metric/imperial), always state units explicitly.
- 💡 Use SI units as your base for consistency in scientific and engineering work.
- 💡 Bookmark for quick access — unit conversions come up more often than you think.
Who Should Use This?
Students working on physics and chemistry, engineers working with international specifications, home cooks using foreign recipes, and anyone dealing with multiple unit systems.
📚 Complete Guide Available
Want to learn more? Read our comprehensive guide with detailed explanations, real-world examples, expert analysis, and actionable tips.
Read: AngleNote: Conversions use standard factors. For scientific or industrial applications requiring extreme precision, verify with authoritative reference sources.
Maintained by: Sagar Sahni, Calc Labz | Review: formula checks, worked examples, and periodic updates
Need a correction? Contact us with the calculator name, your inputs, and the issue you found.
Last updated: April 2026