# Gradians to Seconds Of Arc Conversion

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

**Results in Seconds Of Arc:**

^{g}= 3,240 arcsec

## How to Convert Gradians to Seconds Of Arc

To convert a gradian measurement to a second of arc measurement, multiply the angle by the conversion ratio.

Since one gradian is equal to 3,240 seconds of arc, you can use this simple formula to convert:

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

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

^{g}= (5 × 3,240) = 16,200"

### How Many Seconds Of Arc are in a Gradian?

There are **3,240** seconds of arc in a gradian, which is why we use this value in the formula above.

1^{g} = 3,240"

Gradians and seconds of arc 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.

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

## 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″.

## Gradian to Second Of Arc Conversion Table

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

0.001^{g} |
3.24" |

0.002^{g} |
6.48" |

0.003^{g} |
9.72" |

0.004^{g} |
12.96" |

0.005^{g} |
16.2" |

0.006^{g} |
19.44" |

0.007^{g} |
22.68" |

0.008^{g} |
25.92" |

0.009^{g} |
29.16" |

0.01^{g} |
32.4" |

0.02^{g} |
64.8" |

0.03^{g} |
97.2" |

0.04^{g} |
129.6" |

0.05^{g} |
162" |

0.06^{g} |
194.4" |

0.07^{g} |
226.8" |

0.08^{g} |
259.2" |

0.09^{g} |
291.6" |

0.1^{g} |
324" |

0.2^{g} |
648" |

0.3^{g} |
972" |

0.4^{g} |
1,296" |

0.5^{g} |
1,620" |

0.6^{g} |
1,944" |

0.7^{g} |
2,268" |

0.8^{g} |
2,592" |

0.9^{g} |
2,916" |

1^{g} |
3,240" |

## 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