# Gradians to Revolutions Conversion

Enter the angle in gradians below to get the value converted to revolutions.

**Results in Revolutions:**

^{g}= 0.0025 r

## How to Convert Gradians to Revolutions

To convert a gradian measurement to a revolution measurement, divide the angle by the conversion ratio. One revolution is equal to 400 gradians, so use this simple formula to convert:

The angle in revolutions is equal to the gradians divided by 400.

**For example,**here's how to convert 500 gradians to revolutions using the formula above.

^{g}= (500 ÷ 400) = 1.25 r

Gradians and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.

## Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°.
The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^{-2} radians.^{[1]}

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Gradians | Degrees |
---|---|

0 grad | 0° |

100 grad | 90° |

200 grad | 180° |

300 grad | 270° |

400 grad | 360° |

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as * ^{g}*, and are also sometimes abbreviated as

*gr*or

*grd*. For example, 1 gradian can be written as 1

^{g}, 1 gr, or 1 grd.

## Revolutions

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as *r*, and are also sometimes abbreviated as *rev* or *cyc*. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

## Gradian to Revolution Conversion Table

Gradians | Revolutions |
---|---|

1^{g} |
0.0025 r |

2^{g} |
0.005 r |

3^{g} |
0.0075 r |

4^{g} |
0.01 r |

5^{g} |
0.0125 r |

6^{g} |
0.015 r |

7^{g} |
0.0175 r |

8^{g} |
0.02 r |

9^{g} |
0.0225 r |

10^{g} |
0.025 r |

20^{g} |
0.05 r |

30^{g} |
0.075 r |

40^{g} |
0.1 r |

50^{g} |
0.125 r |

60^{g} |
0.15 r |

70^{g} |
0.175 r |

80^{g} |
0.2 r |

90^{g} |
0.225 r |

100^{g} |
0.25 r |

200^{g} |
0.5 r |

300^{g} |
0.75 r |

400^{g} |
1 r |

500^{g} |
1.25 r |

600^{g} |
1.5 r |

700^{g} |
1.75 r |

800^{g} |
2 r |

900^{g} |
2.25 r |

1,000^{g} |
2.5 r |

## References

- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI),
*National Institute of Standards and Technology*, https://physics.nist.gov/cuu/pdf/sp811.pdf