# Convert Seconds Of Arc to Gradians

Enter the angle in seconds of arc below to get the value converted to gradians.

**Results in Gradians:**

^{g}

## How to Convert Seconds Of Arc to Gradians

To convert a second of arc measurement to a gradian measurement, divide the angle by the conversion ratio. One gradian is equal to 3,240 seconds of arc, so use this simple formula to convert:

The angle in gradians is equal to the seconds of arc divided by 3,240.

**For example,**here's how to convert 5,000 seconds of arc to gradians using the formula above.

^{g}

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

## Seconds Of Arc

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as *arcsec*, and are also sometimes abbreviated as *asec*. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

## 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) 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.

## Second Of Arc to Gradian Conversion Table

Seconds Of Arc | Gradians |
---|---|

1" | 0.000309^{g} |

2" | 0.000617^{g} |

3" | 0.000926^{g} |

4" | 0.001235^{g} |

5" | 0.001543^{g} |

6" | 0.001852^{g} |

7" | 0.00216^{g} |

8" | 0.002469^{g} |

9" | 0.002778^{g} |

10" | 0.003086^{g} |

20" | 0.006173^{g} |

30" | 0.009259^{g} |

40" | 0.012346^{g} |

50" | 0.015432^{g} |

60" | 0.018519^{g} |

70" | 0.021605^{g} |

80" | 0.024691^{g} |

90" | 0.027778^{g} |

100" | 0.030864^{g} |

200" | 0.061728^{g} |

300" | 0.092593^{g} |

400" | 0.123457^{g} |

500" | 0.154321^{g} |

600" | 0.185185^{g} |

700" | 0.216049^{g} |

800" | 0.246914^{g} |

900" | 0.277778^{g} |

1,000" | 0.308642^{g} |

2,000" | 0.617284^{g} |

3,000" | 0.925926^{g} |

4,000" | 1.2346^{g} |

5,000" | 1.5432^{g} |

6,000" | 1.8519^{g} |

7,000" | 2.1605^{g} |

8,000" | 2.4691^{g} |

9,000" | 2.7778^{g} |

10,000" | 3.0864^{g} |

## References

- Barry N. Taylor and Ambler Thompson, NIST Special Publication 330 2008 Edition,
*National Institute of Standards and Technology*, https://www.nist.gov/sites/default/files/documents/2016/12/07/sp330.pdf