Convert Seconds Of Arc to Gradians
Enter the angle in seconds of arc below to get the value converted to gradians.
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.
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 1g, 1 gr, or 1 grd.
Second Of Arc to Gradian Conversion Table
| 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
- 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
