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Free Angle Converter

Convert between degrees, radians, gradians, revolutions, arcminutes, and arcseconds.

100% Free No Signup Works on all devices

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Key Features

Instant Calculation

Get accurate results in real time with our optimized algorithm.

Mobile Friendly

Fully responsive design. Works on all devices & screen sizes.

Privacy Focused

Your data stays on your device. We don't store any inputs.

100% Free

No hidden costs. This tool is completely free forever.

Angles show up in different units depending on the field: degrees in everyday and navigation contexts, radians in mathematics and programming, gradians in surveying, and arcminutes/arcseconds in astronomy and precision measurement.

This converter handles all of them, using degrees as the common reference point.

How it works

Enter a value, choose the unit you're converting from, and the unit you want to convert to. The tool converts through degrees as a common base and returns the result.

  1. Enter value.
  2. Enter from.
  3. Enter to.
  4. Click Calculate to see your results.

Examples

Converting a half turn

180 degrees converts to approximately 3.14159 radians (π radians).

Who should use it

  • Converting between degrees and radians for programming or math work.
  • Converting gradians for surveying or engineering calculations.

Industry applications

  • Mathematics and engineering
  • Astronomy and surveying

Advantages

  • Covers six angle units in one tool, from everyday degrees to specialized astronomical units.
  • Uses precise conversion factors, not rounded approximations.

Common mistakes to avoid

  • Passing degrees into a programming function that expects radians (or vice versa), producing wildly incorrect trigonometric results.
  • Confusing arcminutes/arcseconds (angle units) with minutes/seconds (time units).

Best practices

  • Always double-check which angle unit a formula, function, or instrument expects before plugging in a value — degrees and radians are the most commonly confused pair.

Tips

  • When working in code, remember most math libraries (JavaScript's Math object, Python's math module, etc.) expect radians — convert from degrees first if your input is in degrees.

Frequently asked questions

Yes, with no signup and no limit on how many conversions you run.
Radians are the natural unit for calculus-based math (trigonometric derivatives and identities simplify in radians), which is why most programming languages' math libraries expect angles in radians rather than degrees.
Gradians (where a full circle is 400 gradians) are mainly used in surveying and some European engineering contexts, where dividing a right angle into 100 parts simplifies certain calculations.
Arcminutes and arcseconds measure angles (1 degree = 60 arcminutes = 3600 arcseconds), commonly used in astronomy and precision optics — they're unrelated to minutes and seconds of time.

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