# Degrees to Gradians Conversion

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

**Results in Gradians:**

^{g}

## How to Convert Degrees to Gradians

To convert a degree measurement to a gradian measurement, multiply the angle by the conversion ratio. One degree is equal to 1.111111 gradians, so use this simple formula to convert:

The angle in gradians is equal to the degrees multiplied by 1.111111.

**For example,**here's how to convert 5 degrees to gradians using the formula above.

^{g}

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

## Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle.^{[1]} The number 360 has 24 divisors, making it a fairly easy number to work with.
There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as *°*, and are also sometimes abbreviated as *deg*. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree, and one second is equal to 1/60th of a minute.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

## 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.^{[2]}

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.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Degree to Gradian Conversion Table

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

1° | 1.1111^{g} |

2° | 2.2222^{g} |

3° | 3.3333^{g} |

4° | 4.4444^{g} |

5° | 5.5556^{g} |

6° | 6.6667^{g} |

7° | 7.7778^{g} |

8° | 8.8889^{g} |

9° | 10^{g} |

10° | 11.11^{g} |

11° | 12.22^{g} |

12° | 13.33^{g} |

13° | 14.44^{g} |

14° | 15.56^{g} |

15° | 16.67^{g} |

16° | 17.78^{g} |

17° | 18.89^{g} |

18° | 20^{g} |

19° | 21.11^{g} |

20° | 22.22^{g} |

21° | 23.33^{g} |

22° | 24.44^{g} |

23° | 25.56^{g} |

24° | 26.67^{g} |

25° | 27.78^{g} |

26° | 28.89^{g} |

27° | 30^{g} |

28° | 31.11^{g} |

29° | 32.22^{g} |

30° | 33.33^{g} |

31° | 34.44^{g} |

32° | 35.56^{g} |

33° | 36.67^{g} |

34° | 37.78^{g} |

35° | 38.89^{g} |

36° | 40^{g} |

37° | 41.11^{g} |

38° | 42.22^{g} |

39° | 43.33^{g} |

40° | 44.44^{g} |

## References

- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree
- 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