Angle

Turns to radians Converter

Convert turn to radian instantly.

Formularad = turn × 6.28318530718 (π-based exact relation)
Sources and methodology1 turn = 6.28318530718 rad — exactly. Displayed decimals are rounded for readability. exactly

Quick conversion table

turnradian
1 turn6.28318530718 rad
5 turn31.4159265359 rad
30 turn188.495559215 rad
45 turn282.743338823 rad
90 turn565.486677646 rad
180 turn1130.97335529 rad
270 turn1696.46003294 rad
360 turn2261.94671058 rad

Unit definitions

turn (turn)

turn is a unit of Angle. In this converter it is defined against the category base unit as base = value × 2 × π.

radian (rad)

radian is a unit of Angle. In this converter it is defined against the category base unit as 1 rad = 1 rad.

Example

10 turn = 62.8318530718 rad

Sources and methodology

Definitions: BIPM SI Brochure and NIST conversion guidance. Methodology.