Seconds of Arc to Gradians Converter
Enter the angle in seconds of arc below to get the value converted to gradians.
Do you want to convert gradians to seconds of arc?
How to Convert Seconds of Arc to Gradians
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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.
Seconds of arc and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
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″.
Learn more about seconds of arc.
What Is a Gradian?
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 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.
Learn more about gradians.
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
- 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
More Second of Arc & Gradian Conversions
- seconds of arc to radians
- seconds of arc to milliradians
- seconds of arc to degrees
- seconds of arc to minutes of arc
- seconds of arc to revolutions
- seconds of arc to circles
- seconds of arc to mils
- radians to gradians
- milliradians to gradians
- degrees to gradians
- minutes of arc to gradians
- revolutions to gradians
- circles to gradians
- mils to gradians