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Angle

Browse Angle conversions

1 radian = 0.159155 turn

Reviewed June 18, 2026 Linear conversions use exact SI and international definitions where available. No account, tracking login, or third-party scoring required.
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Formula Summary

Result: 1 radian = 0.159155 turn

Formula: (1 x 57.295779513082) / 360

Rounding: Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision.

Real World Context

0.159155 turn is approximately:

  • covers about 1.91 hour-mark spaces around a clock face
Unit Story

Radian

A radian links an angle directly to a circle: the arc length equals the radius. That natural relationship makes radians central to mathematics and engineering.

Turn

A turn treats one complete rotation as a single unit. Half a turn, a quarter turn, and revolutions are often easier to picture than their degree values.

How This Conversion Works

Radian and turn are both used for angle conversions. This page converts 1 radian into 0.159155 turn using the formula shown below.

Use this result for quick checks, comparisons, and everyday reference. For work that depends on exact precision, review the rounding setting and the assumption note before using the number.

The precision controls let you switch between a shorter result, the standard readable result, and scientific notation when the value is very large or very small.

Unit Notes
  • 1 radian (rad) equals 57.2957795131 degree.
  • 1 turn (rev) equals 360 degree.

Questions

How do you convert radian to turn?

This page converts radian to turn using this formula: (1 x 57.295779513082) / 360.

What is 1 radian in turn?

1 radian equals 0.159155 turn.

How many decimals does this converter show?

Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision. The precision buttons can also show a shorter result or scientific notation.

Equivalent Values
57.2957795131 degree
1 radian
1000 milliradian
63.6619772368 gradian
0.1591549431 turn
3437.7467707849 arcminute
206264.8062470964 arcsecond
1018.5916357881 NATO mil
Nearby Values
0.5 radian 0.0795774715 turn
1 radian 0.1591549431 turn
2 radian 0.3183098862 turn
5 radian 0.7957747155 turn
10 radian 1.5915494309 turn
Full Details
Formula
(1 x 57.295779513082) / 360
Rounding
Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision.
Assumption
Angle conversions use one full turn = 360 degrees = 2 pi radians = 400 gradians. A NATO mil is 1/6400 of a full turn.

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