Angle

Radians to turns Converter

Convert radian to turn instantly.

From

To

Result

Formulaturn = rad × 0.159154943092 (π-based exact relation)

Sources and methodology1 rad = 0.159154943092 turn — exactly. Displayed decimals are rounded for readability. exactly

Quick conversion table

radian	turn
1 rad	0.159154943092 turn
5 rad	0.795774715459 turn
30 rad	4.77464829276 turn
45 rad	7.16197243914 turn
90 rad	14.3239448783 turn
180 rad	28.6478897565 turn
270 rad	42.9718346348 turn
360 rad	57.2957795131 turn

Unit definitions

radian (rad)

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

turn (turn)

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

Example

10 rad = 1.59154943092 turn

Sources and methodology

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