# Radians To Revolutions Conversion

1 rad = 0.1591549431 rev

Want to convert from revolutions to radians instead?

**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 radians to revolutions (rad to rev)

The formula for converting radians to revolutions is: rev = rad × 0.1591549431. To calculate the radian value in revolutions first substitute the radian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 radian in revolutions we follow these steps:

rev = rad × 0.1591549431

rev = 1 × 0.1591549431

rev = 0.1591549431

In other words, 1 radian is equal to 0.1591549431 revolutions.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 radians to revolutions is:

- Understand the conversion formula: rev = rad × 0.1591549431
- Substitute the required value. In this case we substitute 6 for rad so the formula becomes: rev = 6 × 0.1591549431
- Calculate the result using the provided values. In our example the result is: 6 × 0.1591549431 = 0.9549296586 rev

In summary, 6 radians is equal to 0.9549296586 revolutions.

## Converting revolutions to radians

In order to convert the other way around i.e. revolutions to radians, you would use the following formula: rad = rev × 6.28318530685963. To convert revolutions to radians first substitute the revolution value into the above formula, and then execute the calculation. If we wanted to calculate 1 revolution in radians we follow these steps:

rad = rev × 6.28318530685963

rad = 1 × 6.28318530685963

rad = 6.28318530685963

Or in other words, 1 revolution is equal to 6.28318530685963 radians.

## Conversion Unit Definitions

### What is a Radian?

### What is a Revolution?

## Radians To Revolutions Conversion Table

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

Radian (rad) | Revolution (rev) |
---|---|

1 rad | 0.1591549431 rev |

2 rad | 0.3183098862 rev |

3 rad | 0.4774648293 rev |

4 rad | 0.6366197724 rev |

5 rad | 0.7957747155 rev |

6 rad | 0.9549296586 rev |

7 rad | 1.1140846017 rev |

8 rad | 1.2732395448 rev |

9 rad | 1.4323944879 rev |

10 rad | 1.591549431 rev |

11 rad | 1.7507043741 rev |

12 rad | 1.9098593172 rev |

13 rad | 2.0690142603 rev |

## Other Common Radian Conversions

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

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

1 radian in degrees | 57.2957795785523 ° |

1 radian in quadrants | 0.636619772365513 quadrant |