Scientific unit conversion

Turns to Radians Converter

Convert turns to radians instantly with the formula, worked examples, rounding guidance, and related angle conversions.

Converters

12

Units

85

Mode

Live

Result

6.28318530718
rad / 1 turn = 6.2831853071795864769252867666 rad
Angle Degrees to Radians Converter Angle Radians to Degrees Converter Angle Degrees to Gradians Converter Angle Minute of arcs to Degrees Converter

Pair-specific conversion guide

Turn to Radian formula

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.

Precision and rounding

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 factors

Angle

Popular conversions

Conversion table

1 Turn equals

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

Turn to Radian questions

How do you convert Turn to Radian?

Use the formula 1 turn = 6.28318530718 rad. As a quick check, 1 turn equals 6.28318530718 rad.

Is the Turn to Radian conversion exact?

This page uses fixed constants from the Converter Science catalog. Displayed results are rounded only to keep the page readable.