Angle
Browse Angle conversions1 turn = 6.283185 radian
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Formula Summary
Result: 1 turn = 6.283185 radian
Formula: (1 x 360) / 57.295779513082
Rounding: Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision.
Real World Context
6.283185 radian is approximately:
- one complete rotation, returning to the starting direction
Unit Story
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.
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.
How This Conversion Works
Turn and radian are both used for angle conversions. This page converts 1 turn into 6.283185 radian 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 turn (rev) equals 360 degree.
- 1 radian (rad) equals 57.2957795131 degree.
Questions
How do you convert turn to radian?
This page converts turn to radian using this formula: (1 x 360) / 57.295779513082.
What is 1 turn in radian?
1 turn equals 6.283185 radian.
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
Nearby Values
Full Details
- Formula
- (1 x 360) / 57.295779513082
- 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.
