**Disclaimer:** We've spent hundreds of hours building and testing our calculators and conversion tools. However, we cannot be held liable for any damages or losses (monetary or otherwise) arising out of or in connection with their use. Full disclaimer.

## How to convert degrees to radians (° to rad)

The formula for converting degrees to radians is: rad = ° × 0.0174532925. To calculate the degree value in radians first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in radians we follow these steps:

rad = ° × 0.0174532925

rad = 1 × 0.0174532925

rad = 0.0174532925

In other words, 1 degree is equal to 0.0174532925 radians.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 8 degrees to radians is:

- Understand the conversion formula: rad = ° × 0.0174532925
- Substitute the required value. In this case we substitute 8 for ° so the formula becomes: rad = 8 × 0.0174532925
- Calculate the result using the provided values. In our example the result is: 8 × 0.0174532925 = 0.13962634 rad

In summary, 8 degrees is equal to 0.13962634 radians.

## Converting radians to degrees

In order to convert the other way around i.e. radians to degrees, you would use the following formula: ° = rad × 57.2957795785523. To convert radians to degrees first substitute the radian value into the above formula, and then execute the calculation. If we wanted to calculate 1 radian in degrees we follow these steps:

° = rad × 57.2957795785523

° = 1 × 57.2957795785523

° = 57.2957795785523

Or in other words, 1 radian is equal to 57.2957795785523 degrees.

## Conversion Unit Definitions

### What is a Degree?

### What is a Radian?

## Degrees To Radians Conversion Table

Below is a lookup table showing common degrees to radians conversion values.

Degree (°) | Radian (rad) |
---|---|

1 ° | 0.0174532925 rad |

2 ° | 0.034906585 rad |

3 ° | 0.0523598775 rad |

4 ° | 0.06981317 rad |

5 ° | 0.0872664625 rad |

6 ° | 0.104719755 rad |

7 ° | 0.1221730475 rad |

8 ° | 0.13962634 rad |

9 ° | 0.1570796325 rad |

10 ° | 0.174532925 rad |

11 ° | 0.1919862175 rad |

12 ° | 0.20943951 rad |

13 ° | 0.2268928025 rad |

## Other Common Degree Conversions

Below is a table of common conversions from degrees to other angle units.

Conversion | Result |
---|---|

1 degree in circles | 0.00277777777777778 circle |

1 degree in gons | 1.11111111111111 gon |

1 degree in gradians | 1.11111111111111 grad |

1 degree in arcminutes | 60 arcmin |

1 degree in revolutions | 0.0027777777777 rev |

1 degree in arcseconds | 3600 arcsec |

1 degree in turns | 0.0027777777777 tr |