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Angle Converter

degree, radian, gradian

1 ° = 0.01745329 rad

All conversions

How to use this calculator: ° to rad

  1. 1Enter the value measured in degree (°).
  2. 2Confirm the direction is Degree (°) to Radian (rad); reversing the units changes the factor or offset.
  3. 3Apply rad = ° × 0.01745329. The live converter performs this substitution as you type.
  4. 4Read the answer in rad and keep only justified precision.

Conversion formula

Degree and Radian express the same angle quantity. This page converts through the category's canonical base unit, except temperature and fuel-economy pairs, which use their explicit scale or reciprocal equations.

rad = ° × 0.01745329

The units measure the same quantity at different scales: 1 ° = 0.01745329 rad, and 1 rad = 57.2958 °.

Worked conversion example: Degree to Radian

  1. Given: 1 °
  2. Substitute: rad = 1 × 0.01745329 = 0.01745329
  3. Result: 1 ° = 0.01745329 rad

Accuracy checklist

The converter keeps extra precision internally. Report only the precision supported by the original measurement and follow the required rounding rule.

Direction check: a smaller unit usually gives a larger number; temperature is an exception.

Unit definitions and SI traceability: NIST Office of Weights and Measures — SI Units.

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