Radian to Degree (rad to °)
Result
57.29577951 Degree
Formula
° = rad × 57.29577951
1 rad = 57.29577951 °, and 1 ° = 0.01745329252 rad.
A full turn is 360°, 2π radians or 400 gradians, so 1 rad = 180/π ° (about 57.29578°) and 1 gradian = 0.9°.
Worked examples
- 1 rad × 57.29577951 = 57.29578 °
- 10 rad × 57.29577951 = 572.9578 °
- 100 rad × 57.29577951 = 5,729.578 °
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.
Radian to Degree table
| Radian (rad) | Degree (°) |
|---|---|
| 1 | 57.29578 |
| 2 | 114.59156 |
| 5 | 286.4789 |
| 10 | 572.9578 |
| 20 | 1,145.9156 |
| 50 | 2,864.789 |
| 100 | 5,729.578 |
| 1,000 | 57,295.78 |
The units
- Radian (rad)
- 1 Radian = 57.29577951 Degree.
- Degree (°)
- A unit of angle.
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