# Radians To Revolutions Conversion

1 rad = 0.1591549431 rev

Want to convert from revolutions to radians instead?

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## 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 9 radians to revolutions is:

- Understand the conversion formula: rev = rad × 0.1591549431
- Substitute the required value. In this case we substitute 9 for rad so the formula becomes: rev = 9 × 0.1591549431
- Calculate the result using the provided values. In our example the result is: 9 × 0.1591549431 = 1.4323944879 rev

In summary, 9 radians is equal to 1.4323944879 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 |