# Quadrants To Radians Conversion

1 quadrant = 1.5707963268 rad

Want to convert from radians to quadrants instead?

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

The formula for converting quadrants to radians is: rad = quadrant × 1.5707963268. To calculate the quadrant value in radians first substitute the quadrant value into the preceding formula, and then perform 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

In other words, 1 quadrant is equal to 1.5707963268 radians.

## Example Conversion

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

- Understand the conversion formula: rad = quadrant × 1.5707963268
- Substitute the required value. In this case we substitute 8 for quadrant so the formula becomes: rad = 8 × 1.5707963268
- Calculate the result using the provided values. In our example the result is: 8 × 1.5707963268 = 12.5663706144 rad

In summary, 8 quadrants is equal to 12.5663706144 radians.

## Converting radians to quadrants

In order to convert the other way around i.e. radians to quadrants, you would use the following formula: quadrant = rad × 0.636619772365513. To convert radians to quadrants first substitute the radian value into the above formula, and then execute 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

Or in other words, 1 radian is equal to 0.636619772365513 quadrants.

## Conversion Unit Definitions

### What is a Quadrant?

### What is a Radian?

## Quadrants To Radians Conversion Table

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

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

1 quadrant | 1.5707963268 rad |

2 quadrant | 3.1415926536 rad |

3 quadrant | 4.7123889804 rad |

4 quadrant | 6.2831853072 rad |

5 quadrant | 7.853981634 rad |

6 quadrant | 9.4247779608 rad |

7 quadrant | 10.9955742876 rad |

8 quadrant | 12.5663706144 rad |

9 quadrant | 14.1371669412 rad |

10 quadrant | 15.707963268 rad |

11 quadrant | 17.2787595948 rad |

12 quadrant | 18.8495559216 rad |

13 quadrant | 20.4203522484 rad |