Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds, turns, and more angle units.
Reviewed October 7, 2026 Runs in your browser — inputs are never stored
1 Degree (°) = 0.017453 Radian (rad)
This tool provides general unit conversions for everyday and educational use. For regulated, legal, or scientific applications, verify conversion factors against the applicable official standard.
About the Angle Converter
The angle converter switches between degrees, radians, gradians, arcminutes, arcseconds, turns, milliradians and other angle units. One full turn is 360°, 2π radians or 400 gradians. Radians are the standard in mathematics and programming, degrees in everyday use and milliradians in optics and shooting.
How to use it
- 1Type the value you want to convert.
- 2Choose the unit you are converting from and the unit you want (for example degrees to radians).
- 3The result updates as you type; use the swap button to reverse the direction.
- 4Copy or share the result with the buttons below it.
Worked example
45° × π/180 ≈ 0.7854 rad, which is 50 gradians.
How it works
Key relationships
360° = 2π radians = 400 gradians = 1 full turn.
1° = π/180 ≈ 0.017453 radians.
1 radian ≈ 57.296°.
Common use cases
- Trigonometry and calculus homework
- Programming graphics and games
- Surveying and navigation
Frequently asked questions
A:π radians = 180°. 2π radians = 360°.
A:A gradian (gon) divides a right angle into 100 parts: 400 gradians = 360°. Used in surveying and some European countries.
Reviewed for accuracy · Last updated October 7, 2026
Conversion factors are based on internationally defined SI units and standard metric/imperial equivalence tables.
CalcWisee Editorial Team
Calculator development and formula review
CalcWisee is an independent site founded by Ayman. Every calculator is built from a published formula or official definition, tested against hand-worked examples before it goes live, and corrected promptly when a reader reports an issue to ayman@calcwisee.com.
Expertise: Financial mathematics, Health and fitness formulas, Applied mathematics, Unit conversion standards
References & sources
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