# Radians To Quadrants Conversion

1 rad = 0.636619772365513 quadrant

Want to convert from quadrants to radians instead?

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## How to convert radians to quadrants (rad to quadrant)

The formula for converting radians to quadrants is: quadrant = rad × 0.636619772365513. To calculate the radian value in quadrants first substitute the radian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 radian in quadrants we follow these steps:

quadrant = rad × 0.636619772365513

quadrant = 1 × 0.636619772365513

quadrant = 0.636619772365513

In other words, 1 radian is equal to 0.636619772365513 quadrants.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 3 radians to quadrants is:

- Understand the conversion formula: quadrant = rad × 0.636619772365513
- Substitute the required value. In this case we substitute 3 for rad so the formula becomes: quadrant = 3 × 0.636619772365513
- Calculate the result using the provided values. In our example the result is: 3 × 0.636619772365513 = 1.909859317096539 quadrant

In summary, 3 radians is equal to 1.909859317096539 quadrants.

## Converting quadrants to radians

In order to convert the other way around i.e. quadrants to radians, you would use the following formula: rad = quadrant × 1.5707963268. To convert quadrants to radians first substitute the quadrant value into the above formula, and then execute the calculation. If we wanted to calculate 1 quadrant in radians we follow these steps:

rad = quadrant × 1.5707963268

rad = 1 × 1.5707963268

rad = 1.5707963268

Or in other words, 1 quadrant is equal to 1.5707963268 radians.

## Conversion Unit Definitions

### What is a Radian?

### What is a Quadrant?

## Radians To Quadrants Conversion Table

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

Radian (rad) | Quadrant |
---|---|

1 rad | 0.636619772365513 quadrant |

2 rad | 1.273239544731026 quadrant |

3 rad | 1.909859317096539 quadrant |

4 rad | 2.546479089462052 quadrant |

5 rad | 3.183098861827565 quadrant |

6 rad | 3.819718634193078 quadrant |

7 rad | 4.456338406558591 quadrant |

8 rad | 5.092958178924104 quadrant |

9 rad | 5.729577951289617 quadrant |

10 rad | 6.36619772365513 quadrant |

11 rad | 7.002817496020643 quadrant |

12 rad | 7.639437268386156 quadrant |

13 rad | 8.276057040751669 quadrant |

## 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 revolutions | 0.1591549431 rev |