# Seconds of Arc to Gradians Converter

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

1 arcsec = 0.000309g

Do you want to convert gradians to seconds of arc?

## How to Convert Seconds of Arc to Gradians

To convert a measurement in seconds of arc to a measurement in gradians, divide the angle by the following conversion ratio: 3,240 seconds of arc/gradian.

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

gradians = seconds of arc ÷ 3,240

The angle in gradians is equal to the angle in 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.
gradians = (5,000" ÷ 3,240) = 1.54321g

## What Is a Second 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″.

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.

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 1g, 1 gr, or 1 grd.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

## Second of Arc to Gradian Conversion Table

Table showing various second of arc measurements converted to gradians.
1" 0.000309g
2" 0.000617g
3" 0.000926g
4" 0.001235g
5" 0.001543g
6" 0.001852g
7" 0.00216g
8" 0.002469g
9" 0.002778g
10" 0.003086g
20" 0.006173g
30" 0.009259g
40" 0.012346g
50" 0.015432g
60" 0.018519g
70" 0.021605g
80" 0.024691g
90" 0.027778g
100" 0.030864g
200" 0.061728g
300" 0.092593g
400" 0.123457g
500" 0.154321g
600" 0.185185g
700" 0.216049g
800" 0.246914g
900" 0.277778g
1,000" 0.308642g
2,000" 0.617284g
3,000" 0.925926g
4,000" 1.2346g
5,000" 1.5432g
6,000" 1.8519g
7,000" 2.1605g
8,000" 2.4691g
9,000" 2.7778g
10,000" 3.0864g

## References

1. 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