Convert Seconds Of Arc to Gradians

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

SWAP UNITS
Results in Gradians:
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1 arcsec = 0.000309g

How to Convert Seconds Of Arc to Gradians

Protractors are often used to measure angle

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:

gradians = seconds of arc ÷ 3,240

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.
5,000" = (5,000 ÷ 3,240) = 1.54321g

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.

Right angles in gradians
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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.

Second Of Arc to Gradian Conversion Table

Second of arc measurements converted to gradians
Seconds Of Arc 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. 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