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Turns to Radians Converter

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

1 turn = 6.28319 radians

1 turns = 6.28319 radians

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

Quick Answer

1 turn equals 6.28319 radians. To convert turns to radians, multiply the value by 6.283185307179586.

Key Facts

  • Exact factor: 1 turn = 6.283185307179586 radians.
  • Formula: 1 turn = 6.28319 radians. Formula: value × 6.283185307179586.
  • Reverse: 1 radian = 0.15915494309189535 turns.

Turns to Radians Formula

1 turn = 6.28319 radians. Formula: value × 6.283185307179586

Example: 1 turn → 6.28319 rad. Type any value in the converter above to see it converted live.

Turns to Radians Conversion Table

Turns (turn)Radians (rad)
1 turn6.28319 rad
2 turn12.5664 rad
5 turn31.4159 rad
10 turn62.8319 rad
25 turn157.08 rad
50 turn314.159 rad
100 turn628.319 rad
250 turn1,570.8 rad
500 turn3,141.59 rad
1,000 turn6,283.19 rad

Frequently Asked Questions

1 turn = 6.28319 radians. Formula: value × 6.283185307179586. Enter the value above and the result appears instantly — the calculation runs entirely in your browser.

Exactly: 1 turn = 6.283185307179586 radians. The reverse factor is 1 radian = 0.15915494309189535 turns.

1 turn = 6.28319 rad; 10 turn = 62.8319 rad; 100 turn = 628.319 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

  • Degrees to Radians
  • Degrees to Gradians
  • Degrees to Turns
  • Radians to Degrees
  • Radians to Gradians
  • Radians to Turns
  • Gradians to Degrees
  • Gradians to Radians
Browse all angle converters →