Angle Converter
Convert between degrees, radians, gradians and turns.
Convert between degrees, radians, gradians and turns.
This free Angle Converter from KX Toolkit is part of our all-in-one online toolkit. It runs entirely in your browser, so your data never leaves your device for client-side operations. 100% free, forever - no paywall, no credit card, no trial.
How to use the Angle Converter
- Pick the unit you have and the unit you want.
- Enter the value.
- Read the converted value - most tools update as you type.
- Use the swap button to reverse the direction if needed.
What you can do with the Angle Converter
- Convert recipe ingredients between metric and imperial.
- Translate engineering specs across systems.
- Check shipping weights and dimensions before ordering.
- Quick travel conversions for distance, speed and currency.
Why use KX Toolkit's Angle Converter
- Browser-based: Works on Windows, macOS, Linux, iOS and Android - no install, no extension.
- Privacy-first: Client-side tools never upload your data; server-side tools delete files right after processing.
- Mobile-friendly: Full feature parity on phones and tablets - not a stripped-down view.
- Fast: Optimised for instant feedback. No artificial waiting screens, no email-gated downloads.
- One hub for everything: 300+ tools across SEO, text, image, PDF, code, color, calculators and more - skip switching between sites.
Tips for the best results
For very large or very small numbers, use the scientific-notation option - it avoids floating-point rounding errors.
Related Unit Converter Tools
If you find this tool useful, explore the full Unit Converter Tools collection or browse our complete tool directory. KX Toolkit is built for marketers, developers, designers, students and anyone who needs a quick utility without signing up for yet another SaaS.
How do I convert degrees to radians?
Multiply degrees by pi/180. So 180 degrees equals pi radians (about 3.1416), and 90 degrees equals pi/2 (about 1.5708). The reverse multiplies radians by 180/pi. Radians are the SI unit used in calculus and trigonometry because they make derivatives and series clean. Degrees are the everyday unit for navigation and surveying.
What is a gradian?
A gradian (or gon) divides a right angle into 100 parts, so a full circle is 400 gradians. It was introduced in revolutionary France along with the metric system but never caught on widely. Surveyors in some European countries still use gradians for slope and bearing calculations. The converter handles gradians alongside degrees, radians, and turns.
How many radians are in a full turn?
One turn equals 2 pi radians, or 360 degrees, or 400 gradians. Some math libraries and calculators offer "turns" as a unit because it avoids the irrational pi factor. So 0.25 turns equals 90 degrees and pi/2 radians. The converter supports turns explicitly, which can simplify calculations in robotics or graphics.
What is the difference between a degree and an arcminute?
One degree is divided into 60 arcminutes (also written as 60 prime), and each arcminute into 60 arcseconds. So one degree equals 3,600 arcseconds. Astronomy and surveying use arcminutes and arcseconds for very small angles, like the apparent size of stars or planets. The converter handles these subdivisions when needed.
How precise should I be when converting?
For everyday geometry, two or three decimal places of degrees or radians is plenty. Surveying needs arcsecond precision (about 0.0003 degrees). Astronomy uses milliarcseconds for star positions. The converter rounds the displayed value but uses full double precision internally, so chained conversions stay accurate to the last useful digit.
When should I use radians instead of degrees?
Use radians for any maths involving derivatives, integrals, or Taylor series of trig functions, because formulas come out cleaner. Most programming languages also expect radians in their sin, cos, and tan functions. Use degrees for human-readable directions, navigation, and angle measurements in everyday tools where intuitive readings matter more than mathematical convenience.
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