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Degrees to Radians Converter

Free instant ° → rad converter. No signup, no uploads — everything is calculated privately in your browser.

1 ° = 0.0174533 radians

1 degrees = 0.0174533 radians

Free, instant, and 100% private — every calculation runs in your browser. Nothing is uploaded.

Quick Answer

1 degree equals 0.0174533 radians. To convert degrees to radians, divide the value by 57.29577951308232.

Key Facts

  • Exact factor: 1 degree = 0.017453292519943295 radians.
  • Formula: 1 degree = 0.0174533 radians. Formula: value ÷ 57.29577951308232.
  • Reverse: 1 radian = 57.29577951308232 degrees.

Degrees to Radians Formula

1 degree = 0.0174533 radians. Formula: value ÷ 57.29577951308232

Example: 1 ° → 0.0174533 rad. Type any value in the converter above to see it converted live.

Degrees to Radians Conversion Table

Degrees (°)Radians (rad)
1 °0.0174533 rad
2 °0.0349066 rad
5 °0.0872665 rad
10 °0.174533 rad
25 °0.436332 rad
50 °0.872665 rad
100 °1.74533 rad
250 °4.36332 rad
500 °8.72665 rad
1,000 °17.4533 rad

Frequently Asked Questions

1 degree = 0.0174533 radians. Formula: value ÷ 57.29577951308232. Enter the value above and the result appears instantly — the calculation runs entirely in your browser.

Exactly: 1 degree = 0.017453292519943295 radians. The reverse factor is 1 radian = 57.29577951308232 degrees.

1 ° = 0.0174533 rad; 10 ° = 0.174533 rad; 100 ° = 1.74533 rad. Use the full conversion table below for more reference values.

The gradian was defined during the French metrication effort so a right angle equals exactly 100 gradians, making a full turn 400 — nicer for decimal math, less aligned with astronomy and timekeeping (360 divides evenly by 2, 3, 4, 5, 6, 8, 9, 10, 12…). Engineering in most countries still uses degrees; gradians survive mainly in surveying and some European calculators.

Related Angle Conversions

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  • Radians to Degrees
  • Radians to Gradians
  • Radians to Turns
  • Gradians to Degrees
  • Gradians to Radians
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