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Radians to Turns Converter

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

1 rad = 0.159155 turns

Free and instant — every calculation runs in your browser. Nothing is uploaded.

Quick Answer

1 radian equals 0.159155 turns. To convert radians to turns, multiply the value by this factor.

Key Facts

  • Reverse: 1 turn = 6.28319 radians.

Radians to Turns Formula

Formula: value ÷ 6.28319

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

Radians to Turns Conversion Table

Radians (rad)Turns (turn)
1 rad0.159155 turn
2 rad0.31831 turn
5 rad0.795775 turn
10 rad1.59155 turn
25 rad3.97887 turn
50 rad7.95775 turn
100 rad15.9155 turn
250 rad39.7887 turn
500 rad79.5775 turn
1,000 rad159.155 turn

Frequently Asked Questions

How do I convert radians to turns?

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

What is the exact radians to turns conversion factor?

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

What are some common radians to turns conversions?

1 rad = 0.159155 turn; 10 rad = 1.59155 turn; 100 rad = 15.9155 turn. 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.

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