Online Calculators FreeReference Manual

Degrees to Radians Converter

Convert degrees to radians instantly. Exact factor: 1 ° = 0.01745 rad.

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Convert degrees to radians

The exact conversion factor is 1 ° = 0.01745 rad. Type any value and the result updates instantly; the math is shown beneath the board.

Worked by hand

Multiply the degrees value by 57.296 (that is, 1 ÷ 0.01745) to get radians.

Worked example

  1. Take 1 °
  2. multiply by 57.296
  3. the result is 0.01745 rad

How to use it

  1. Enter your degrees
  2. Read the radians result
  3. Check the factor line to verify by hand

Frequently asked questions

How many radians are in one degrees?

Exactly 0.01745 rad, by the SI/NIST definition.

How do I convert radians back to degrees?

Divide by 0.01745 — or use the full converter where both directions are one click.

Is this rounding or exact?

The factor is exact; only the displayed decimals are rounded.