Angle Converter
Convert between different angle units including degrees, radians, gradians, turns, arcminutes, and arcseconds. Quick and accurate angle conversions for mathematical and engineering applications.
Conversion Settings
No value entered
Conversion Result
Conversion result will appear here
Enter a value and click "Convert" to start
About Angle Units
Degrees (°): Most common unit, 360° in a full circle
Radians (rad): Mathematical unit, 2π radians in a full circle
Gradians (grad): 400 gradians in a full circle
Turns: Complete rotations, 1 turn = full circle
Arcminutes ('): 1/60 of a degree
Arcseconds ("): 1/3600 of a degree
About Angle Converter
A precise angle converter that handles conversions between major angular measurement units including degrees, radians, gradians, turns, arcminutes, and arcseconds. This essential tool provides accurate angle conversions for mathematical calculations, engineering applications, navigation, and scientific work.
Why use a Angle Converter?
Essential for mathematical calculations, engineering designs, navigation systems, and scientific research where different angular units are used. Prevents conversion errors in trigonometric calculations, astronomy observations, surveying work, and engineering projects while supporting both academic and professional angle conversion needs.
Who is it for?
Essential for mathematicians, engineers, surveyors, astronomers, students, and navigators who need accurate angle conversions. Also valuable for game developers, 3D modelers, architects, and anyone working with rotational measurements, trigonometry, or geometric calculations that require different angular units.
How to use the tool
Enter your angle value in the input field
Select the source angle unit (degrees, radians, gradians, turns, arcminutes, or arcseconds)
Choose your target angle unit for conversion
View the converted angle (up to 12 significant digits)
Copy the result for use in calculations, formulas, or engineering work
Frequently Asked Questions
How do I convert angle units?
Enter the source value, pick the 'from' and 'to' units, and click Convert to see the result. Supports degrees (°), radians (rad), gradians (grad), turns, arcminutes ('), arcseconds ("). Copy the converted value to clipboard. Conversion runs entirely in your browser — values never leave the device. Results are shown to up to 12 significant digits with trailing zeros removed; there is no precision setting.
What angle units does this converter support?
degrees (°), radians (rad), gradians (grad), turns, arcminutes ('), arcseconds ("). The set covers SI base and derived units, common imperial/US-customary units, and domain-specific units where relevant. SI prefixes (k, M, G, m, μ, n) apply where applicable. For any unit not in the list that you need converted, mention it via feedback — the unit set evolves based on user requests.
How accurate is the angle conversion?
Conversions use the internationally-defined factors where they exist; the result is rounded to 12 significant digits for display. Radians are dimensionless (a ratio of arc length to radius). 1 rad = 180/π ≈ 57.2958°. 1° = π/180 ≈ 0.01745 rad. Because π is irrational, results are rounded to 12 significant digits. Output is rounded to 12 significant digits for display, and there is no setting to change that.
What's the formula to convert degrees to radians?
rad = ° × π/180. Engineering / CAD (degrees), physics calculations (radians), GPS coordinates (degrees, with decimal or arcminute/second sub-divisions), astronomy (arcseconds for precise positions). For other angle-unit pairs, the tool applies the appropriate exact conversion factor automatically — no manual formula needed. Results are rounded to 12 significant digits, which is more than engineering specs typically need.
What's the key accuracy caveat for angle conversion?
**Radians (SI unit) vs degrees vs gradians** — three competing systems. A full circle is 360° = 2π rad ≈ 6.2832 rad = 400 grad = 1 turn. Radians are the SI unit and the basis for physics/math formulas (trigonometric functions in calculators and programming languages default to radians). Degrees are the everyday human-readable unit. Gradians (400 per circle) are used in some surveying and military contexts. **Arcminutes and arcseconds** subdivide a degree: 1° = 60' = 3,600" — used in astronomy and navigation.
What's a common real-world use case for angle conversion?
Engineering / CAD (degrees), physics calculations (radians), GPS coordinates (degrees, with decimal or arcminute/second sub-divisions), astronomy (arcseconds for precise positions).
What angle units are commonly confused?
**Degrees vs radians** — formulas in code (Math.sin, etc.) default to radians; user inputs are usually degrees. **Gradians ('grad')** — 400 per circle; rare except in some European surveying.
How do I handle very large or very small angle values?
Use SI prefixes for clean scaling: kilo (10³), mega (10⁶), giga (10⁹), milli (10⁻³), micro (10⁻⁶), nano (10⁻⁹). For very large or very small results, the tool switches to exponent notation (e.g. 1.23e15) at 1e15 and above or below 1e-9. Radians are dimensionless (a ratio of arc length to radius). 1 rad = 180/π ≈ 57.2958°. 1° = π/180 ≈ 0.01745 rad. Because π is irrational, results are rounded to 12 significant digits. For data interchange, copy the value; it is shown to 12 significant digits.
Share This Tool
Found this tool helpful? Share it with others who might benefit from it!
💡 Help others discover useful tools! Sharing helps us keep these tools free and accessible to everyone.