Convert degrees to radians
1 ° = 0.0174533 rad · 1 rad = 57.2958 ° · Exact by definition
1 ° = 0.0174533 rad
The same value in other units
- percent grade
- 1.74551 %
Settings
Digits kept in the answer. Automatic keeps six, which hides floating-point noise without losing anything real.
Convert a whole list
Paste one conversion per line, written the way you would say it: "5 km to mi". Handy for a column copied out of a spreadsheet.
Angle and slope
degrees to radians: conversion table
| degree | radian |
|---|---|
| 1 ° | 0.0174533 rad |
| 2 ° | 0.0349066 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 15 ° | 0.261799 rad |
| 30 ° | 0.523599 rad |
| 45 ° | 0.785398 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 100 ° | 1.74533 rad |
| radian | degree |
|---|---|
| 1 rad | 57.2958 ° |
| 2 rad | 114.592 ° |
| 5 rad | 286.479 ° |
| 10 rad | 572.958 ° |
| 15 rad | 859.437 ° |
| 30 rad | 1718.87 ° |
| 45 rad | 2578.31 ° |
| 60 rad | 3437.75 ° |
| 90 rad | 5156.62 ° |
| 100 rad | 5729.58 ° |
How the conversion works
rad = ° × 0.017453293
Both units are defined exactly, so the precision of the degrees to radians result depends only on the number of decimal places you choose.
METHOD AND SOURCES
Where the conversion factors come from
Results are calculated from the unit definitions stored in the converter, not copied from a lookup table. For exact units, every value in the table follows from the same factor shown in the formula above.
- BIPM — SI Brochure
The official definitions of the International System of Units (SI).
- NIST SP 811 — Conversion factors
Conversion-factor tables for SI and non-SI units.
Keep going