Converters
12
Convert turns to radians instantly with the formula, worked examples, rounding guidance, and related angle conversions.
Converters
12
Units
85
Mode
Live
Pair-specific conversion guide
Use this Turn to Radian page for direct angle conversions. The calculator keeps the exact turn to rad relationship on the page, so the result, formula, and examples all describe this specific pair.
Formula model
1 turn = 6.28318530718 rad
1 Turn equals
Quick factor: 1 turn = 6.28318530718 rad.
The current calculator value is 1 turn, which equals 6.28318530718 rad.
Use the conversion table to compare 1 turn with the other units in the same category.
Use sufficient precision for radians and small angular units before rounding the final result.
The calculation uses the catalog's fixed conversion factors between turn and rad. Full decimal precision is kept for the calculation; only the displayed value is rounded for readability.
Reference: NIST conversion factorsAngle
Popular conversions
Conversion table
| Unit | Value |
|---|---|
| Radian rad | 6.28318530718 |
| Degree deg | 360 |
| Gradian grad | 400 |
| Minute of arc ' | 21600 |
| Second of arc '' | 1296000 |
| Angular mil mil | 6400 |
FAQ
Use the formula 1 turn = 6.28318530718 rad. As a quick check, 1 turn equals 6.28318530718 rad.
This page uses fixed constants from the Converter Science catalog. Displayed results are rounded only to keep the page readable.