deg to rad
1 deg (deg) equals 0.0175 rad (rad). Type a value into either box below for an instant two-way conversion. For other units, use the full unit converter.
Chinese version: 度转弧度
Conversion factor
1 deg = 0.0175 rad
Reverse: 1 rad = 57.3 deg
deg to rad converter
deg（deg）
rad（rad）
deg to rad conversion table
| deg | rad | Detail |
|---|---|---|
| 1 | 0.0175 | 1 deg to rad |
| 15 | 0.2618 | 15 deg to rad |
| 30 | 0.5236 | 30 deg to rad |
| 45 | 0.7854 | 45 deg to rad |
| 60 | 1.047 | 60 deg to rad |
| 90 | 1.571 | 90 deg to rad |
| 120 | 2.094 | 120 deg to rad |
| 135 | 2.356 | 135 deg to rad |
| 150 | 2.618 | 150 deg to rad |
| 180 | 3.142 | 180 deg to rad |
| 210 | 3.665 | 210 deg to rad |
| 225 | 3.927 | 225 deg to rad |
| 270 | 4.712 | 270 deg to rad |
| 300 | 5.236 | 300 deg to rad |
| 330 | 5.76 | 330 deg to rad |
| 360 | 6.283 | 360 deg to rad |
| 540 | 9.425 | 540 deg to rad |
| 720 | 12.57 | 720 deg to rad |
How to convert
To convert deg to rad, multiply: rad = deg × 0.0175
To convert rad to deg, divide: deg = rad ÷ 0.0175 (equivalently × 57.3).
Example: 180 deg × 0.0175 = 3.142 rad. The factor is derived from the international definition of each unit; results are shown to 4 significant figures.
Frequently asked questions
180 deg = 3.142 rad. The formula is: value in deg × 0.0175 = value in rad. Use the converter above to convert any value instantly.
1 rad = 57.3 deg. To convert back, divide the rad value by 0.0175 (or multiply by 57.3).
rad = deg × 0.0175; conversely deg = rad ÷ 0.0175. For example, 180 deg × 0.0175 = 3.142 rad. The factor comes from the international definition of the units.
More conversions
Disclaimer: conversion factors are derived from international unit definitions and results are for reference only. For trade settlement, engineering or legal documents, follow the contract or official metrology standards.