Angle Converter

Angle Converter moves between every unit angles are measured in: degrees, radians, gradians, turns, arcminutes and arcseconds, plus the degrees-minutes-seconds notation used in navigation and surveying.

The multiple of pi is the feature that makes this more useful than a single multiplication. Thirty degrees is 0.5236 radians, which tells you nothing; it is also exactly pi over six, which is the form every textbook and every answer key uses. The calculator recognises simple fractions of pi up to a denominator of twenty-four and prints them.

Degrees, minutes and seconds trips people up because it is base sixty twice over: a minute is a sixtieth of a degree and a second a sixtieth of that. A reading of 40.5 degrees is 40 degrees 30 minutes, not 40 degrees 50 minutes, and the conversion is given in full so the distinction is visible.

The page shows its working, not just its answer. Where there is a formula it is printed with your own numbers substituted in, so you can check the result rather than take it on trust -- which is the difference between a calculator you can use for something that matters and one you cannot.

Everything runs inside your browser. What you type is never uploaded, never logged and never stored, and the calculator keeps working if your connection drops after the page has loaded.

• Shows degrees, radians, as a multiple of pi, gradians and degrees, minutes, seconds together, so you are not running it twice
• A results table you can read across
• Prints the formula with your own figures substituted in
• Updates as you type, with no button to press and no page reload
• Copy the result in one click
• Free, no sign-up, and it runs entirely in your browser

The angle converter is used by writers, developers, students, marketers and anyone else who needs the job done once without installing software. Common cases include:

• Converting degrees to radians for a calculation
• Expressing an angle as an exact multiple of pi
• Reading or writing a bearing in degrees, minutes and seconds
• Converting a gradian value from an older instrument