# Radians To Degrees Conversion

1 rad = 57.2957795785523 °

Want to convert from degrees to radians instead?

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

The formula for converting radians to degrees is: ° = rad × 57.2957795785523. To calculate the radian value in degrees first substitute the radian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 radian in degrees we follow these steps:

° = rad × 57.2957795785523

° = 1 × 57.2957795785523

° = 57.2957795785523

In other words, 1 radian is equal to 57.2957795785523 degrees.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 4 radians to degrees is:

- Understand the conversion formula: ° = rad × 57.2957795785523
- Substitute the required value. In this case we substitute 4 for rad so the formula becomes: ° = 4 × 57.2957795785523
- Calculate the result using the provided values. In our example the result is: 4 × 57.2957795785523 = 229.1831183142092 °

In summary, 4 radians is equal to 229.1831183142092 degrees.

## Converting degrees to radians

In order to convert the other way around i.e. degrees to radians, you would use the following formula: rad = ° × 0.0174532925. To convert degrees to radians first substitute the degree value into the above formula, and then execute 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

Or in other words, 1 degree is equal to 0.0174532925 radians.

## Conversion Unit Definitions

### What is a Radian?

### What is a Degree?

## Radians To Degrees Conversion Table

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

Radian (rad) | Degree (°) |
---|---|

1 rad | 57.2957795785523 ° |

2 rad | 114.5915591571046 ° |

3 rad | 171.8873387356569 ° |

4 rad | 229.1831183142092 ° |

5 rad | 286.4788978927615 ° |

6 rad | 343.7746774713138 ° |

7 rad | 401.0704570498661 ° |

8 rad | 458.3662366284184 ° |

9 rad | 515.6620162069707 ° |

10 rad | 572.957795785523 ° |

11 rad | 630.2535753640753 ° |

12 rad | 687.5493549426276 ° |

13 rad | 744.8451345211799 ° |

## Other Common Radian Conversions

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

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

1 radian in quadrants | 0.636619772365513 quadrant |

1 radian in revolutions | 0.1591549431 rev |