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Fast, flexible, scientist and engineer-friendly unit conversions.

Convert Between Units of Angle

Angle measures rotation or direction change, and it appears in geometry, surveying, machining, and mechanical design. Common units include degrees, radians, and revolutions. Converting angle units is especially useful when mixing CAD outputs (often degrees) with engineering formulas (often radians). Trig functions in most programming languages assume radians, which is a frequent source of “the math looks right but the output is wrong.”

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About Angle Conversions

Helpful context and notes for converting Angle units.

Angle conversions show up in slope and grade computations, circular motion, gear ratios, navigation bearings, and any work involving arcs. A full revolution is 360 degrees or 2π radians. When tolerances are tight, be cautious about rounding, because small angular differences can create large linear offsets over long distances. This is why survey notes and alignment tables are picky about units and precision.

Practical tip: if you are doing trig in Excel, Python, JavaScript, or most calculators, confirm whether the function expects radians or degrees. A quick anchor is that 90 degrees equals π/2 radians (about 1.5708). If you convert and your sine or cosine output looks “stuck,” it is often a degrees vs radians mismatch rather than a bad formula.

Frequently Asked Questions

Angle conversions are exact based on mathematical relationships between units such as degrees and radians.

Yes. Angle conversions are suitable for reference and calculation support when used consistently.

Degrees divide a circle into 360 parts, while radians are based on arc length.

Many mathematical functions are defined using radians, making them standard in analysis.

Navigation often uses degrees, minutes, and seconds, which require careful conversion.

Fun Fact

In medieval times, a 'moment' was 1.5 minutes. So when someone says 'just a moment', you are officially allowed ninety seconds before rolling your eyes.

How many Shakes is 1.5 minute?

Source

Supported Units

Common and engineering-specific units supported for this conversion.

  • arcmin (Arc Minutes)
  • arcsec (Arc Seconds)
  • crad (centiradians)
  • darad (decaradians)
  • drad (deciradians)
  • deg (Degrees)
  • Grad (gigaradians)
  • hrad (hectoradians)
  • krad (kiloradians)
  • Mrad (megaradians)
  • μrad (microradians)
  • mrad (milliradians)
  • nrad (nanoradians)
  • prad (picoradians)
  • rad (radians)
  • rev (Revolutions)
  • sr (Steradians)
  • Trad (teraradians)