Angle Converter
Result
0.01745329252 Radian
How these units are defined
A full turn is 360°, 2π radians or 400 gradians, so 1 rad = 180/π ° (about 57.29578°) and 1 gradian = 0.9°.
| Unit | Equals |
|---|---|
| 1 Radian | 57.29577951 Degree |
| 1 Gradian | 0.9 Degree |
| 1 Turn | 360 Degree |
Worked examples
- 1 Degree = 0.017453293 Radian
- 10 Degree = 0.17453293 Radian
- 100 Degree = 1.7453293 Radian
Common mistakes
- Calculators and spreadsheet trigonometry functions usually expect radians: sin(30) in radian mode is −0.988, not 0.5.
- Compass bearings run clockwise from north; mathematical angles run anticlockwise from the positive x-axis.
Angle conversions
Sources for these factors
- The International System of Units (SI Brochure), 9th edition — BIPM
- Guide for the Use of the International System of Units (SP 811), Appendix B: conversion factors — NIST
Last reviewed against these sources. An automated check recomputes every factor from its definition on each build. How we check accuracy