Skip to content

Free browser tools that respect your files: everything runs locally, nothing is uploaded.

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

Free and instant — 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 this factor.

Key Facts

  • Reverse: 1 radian = 0.159155 turns.

Turns to Radians Formula

Formula: value × 6.28319

Prefer to skip the math? Type any value in the converter above and it converts instantly.

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

How do I convert turns to radians?

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

What is the exact turns to radians conversion factor?

1 turn = 6.28319 radians (shown to 6 significant figures — the converter itself computes at full precision). The reverse factor is 1 radian = 0.159155 turns.

What are some common turns to radians conversions?

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.

Why are there 400 gradians in a circle instead of 360 degrees?

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

Browse all angle converters →