Turn to Radian
Convert Turn to Radian instantly. Free online angle unit converter with exact formula, conversion table and FAQ.
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Formula
radian = turn × 6.283185
turn = radian × 0.159155
Conversion table
| 1 turn | 6.283185 rad |
| 5 turn | 31.415927 rad |
| 10 turn | 62.831853 rad |
| 20 turn | 125.663706 rad |
| 50 turn | 314.159265 rad |
| 100 turn | 628.318531 rad |
| 500 turn | 3141.592654 rad |
| 1000 turn | 6283.185307 rad |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the turn (turn). One full revolution.
What is the destination unit in this conversion?
The destination unit is the radian (rad). The radian is the SI angle unit.
How do I convert turn to radian?
Multiply the turn value by 6.283185. For example, 10 turn × 6.283185 = 62.831853 rad.
Is the turn to radian conversion exact?
Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.
Where is this conversion commonly used?
It's used whenever a value expressed in turn needs to be compared with, or reported in, radian, such as in engineering, scientific, or everyday calculations.
Can I convert radian back to turn?
Yes. Multiply the radian value by 0.159155 to get turn.
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About this conversion
This page converts turn (turn) to radian (rad) within the angle converter.
One full revolution. The radian is the SI angle unit.
The formula is radian = turn × 6.283185, based on each unit's fixed relationship to the angle converter's base unit.
The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.
Use the calculator above for instant results, or the table below for common turn values already converted to radian.