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CompressNConvert

Angle Converter

Convert angular measurements between degrees, radians, turns, and subdivisions.

Result

0.0174532925 rad

1 ° = 0.0174532925 rad

All conversions

1 ° in every supported unit.

UnitValue
Degree°1
Radianrad0.0174532925
Gradiangon1.1111111111
Arcminutearcmin60
Arcsecondarcsec3,600
Turnturn0.0027777778

Complete tool guide

How to use the Angle Converter and convert units accurately

The Angle Converter is a free online conversion tool for translating a angle value from one measurement unit into another. Convert angular measurements between degrees, radians, turns, and subdivisions. Enter a number once to see the selected result and a comparison table covering every supported unit.

Unit conversion is useful whenever a specification, recipe, report, product label, instrument, dataset, or instruction uses a measurement system different from the one you need. The converter applies the defined mathematical relationship consistently and avoids the common mistakes caused by moving decimal points or relying on a remembered approximate factor.

Why use this tool?

  • Convert between 6 supported units without looking up separate formulas.
  • See the equivalent value in every supported unit, not only the selected source and destination pair.
  • Swap units instantly when checking a conversion in the opposite direction.
  • Copy a labeled result so the number is not separated from its unit.
  • Run the calculation in your browser without sending measurement values to a conversion service.

Common use cases

  • Converting geometry and trigonometry problems
  • Working with navigation, surveying, astronomy, graphics, and rotation
  • Switching degrees to radians for programming and scientific formulas
  • Standardizing mixed-unit spreadsheet columns, product specifications, technical notes, and imported datasets.
  • Checking a manual, calculator, or spreadsheet conversion before sharing the result.

How to use it

  1. 1

    Enter the source number exactly as supplied, including any required decimal precision.

  2. 2

    Choose the original unit in the From field and verify its symbol; similarly named units can represent different quantities.

  3. 3

    Choose the required destination unit in the To field and read the live result. Use Swap when you need the reverse relationship.

  4. 4

    Review the all-conversions table, then copy the labeled result and retain the source value for traceability.

Conversion method

Angles are normalized through radians. One full turn equals 360 degrees, 400 gradians, or 2π radians; one degree contains 60 arcminutes and 3,600 arcseconds.

Angles are normalized through radians. One full turn equals 360 degrees or 2π radians.

Supported units and result

This converter supports Degree (°), Radian (rad), Gradian (gon), Arcminute (arcmin), Arcsecond (arcsec), Turn (turn).

The output represents the same rotation or angular separation using a different angular unit.

Accuracy and limitations

Radians are dimensionless in SI but must still be interpreted as angles. Degree-minute-second notation also requires careful handling because subdivisions are base 60, not decimal.

Displayed values are rounded for readability. A converted number cannot be more accurate than the source measurement, so do not treat extra decimal places as additional instrument precision.

Practical tips for better results

  • Check the angle mode expected by a calculator or programming API.
  • Use arcminutes and arcseconds for fine angular measurements.
  • Keep π in symbolic form when an exact result is required.
  • Write the unit symbol beside every copied value and include the measurement basis when ambiguity is possible.
  • Use enough decimal places for the task, then round according to the destination’s standard or reporting rule.
  • For safety-critical, regulated, or contractual work, verify definitions against the applicable official standard.

Frequently asked questions

What does the Angle Converter convert?

Convert angular measurements between degrees, radians, turns, and subdivisions. Supported choices are Degree (°), Radian (rad), Gradian (gon), Arcminute (arcmin), Arcsecond (arcsec), Turn (turn). Select the unit attached to the source value and the unit required for the result.

How accurate is the online unit conversion?

The calculator uses the factors and formulas described above and retains precision internally. The practical accuracy still depends on the source measurement, correct unit selection, displayed rounding, and whether the context uses the same unit definition.

Why is my converted number different from another source?

Check for a rounded factor, a different regional unit, an incorrect source unit, or a distinction such as decimal versus binary, US versus imperial, gauge versus absolute, or mass versus volume. Compare the complete unit name and method.

Can I convert a measurement by moving the decimal point?

Only some metric-prefix conversions work that way. Imperial relationships, offset temperature scales, reciprocal fuel economy, area, volume, and many cross-system conversions require specific formulas. Use the defined converter rather than assuming a power of ten.

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