Angle

Degrees to radians Converter

Convert degree to radian instantly.

Formularad = ° × π / 180
Sources and methodology1 ° = 0.0174532925199 rad — exactly. Displayed decimals are rounded for readability. exactly

Quick conversion table

degreeradian
1 °0.0174532925199 rad
5 °0.0872664625997 rad
30 °0.523598775598 rad
45 °0.785398163397 rad
90 °1.57079632679 rad
180 °3.14159265359 rad
270 °4.71238898038 rad
360 °6.28318530718 rad

Unit definitions

degree (°)

degree is a unit of Angle. In this converter it is defined against the category base unit as base = value × 0.00555555555556 × 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 ° = 0.174532925199 rad

Sources and methodology

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