Gradians to Arcseconds Converter
Enter the angle in gradians below to convert it to arcseconds.
Convert Gradians to Arcseconds
Enter a value in gradians (grad) to convert to arcseconds (″).
Gradian to Second of Arc Conversion Table
Table showing various gradian measurements converted to arcseconds. Click any preset value or arrow to load it into the converter.
How to Convert Gradians to Arcseconds
To convert gradians to arcseconds, multiply the angle by the following conversion ratio: 3,240 arcseconds/gradian.
Since one gradian is equal to 3,240 arcseconds, you can use this simple formula to convert:
The angle in arcseconds is equal to the angle in gradians multiplied by 3,240.
For example, here's how to convert 5 gradians to arcseconds using the formula above.
How Many Arcseconds Are in a Gradian?
There are 3,240 arcseconds in a gradian, which is why we use this value in the formula above.
Our gradian to second of arc calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Gradians and arcseconds are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Gradian?
A gradian is a unit of angle equal to 0.9 degrees (°), the base unit for angle. 1/400 of a full circle (0.9°). [1]
The gradian is classified as a metric and SI-compatible unit of angle. Gradians can be abbreviated as grad; for example, 1 gradian can be written as 1 grad.
When working with gradians (grad) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, gradians (grad) are widely used across standard angle applications within SI metric workflows, engineering documentation, and technical data sheets.
What Is a Second of Arc?
A second of arc is a unit of angle equal to 1/3,600 of a degree (0.000277778 °). 1/3600 of a degree. [2]
The second of arc is classified as a standard unit of angle. Arcseconds can be abbreviated as ″; for example, 1 second of arc can be written as 1 ″.
When working with arcseconds (″) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, arcseconds (″) are widely used across fine-tolerance laboratory, analytical, and micro-scale angle measurements within international standard workflows, engineering documentation, and technical data sheets.
When converting angle between gradians (grad) and arcseconds (″), keep full floating-point precision (1 grad = 3,240 ″; 1 ″ = 0.000308642 grad) during intermediate calculations and round only the final second of arc figure to match your instrument tolerance.
More Gradian & Second of Arc Conversions
Need to calculate in the opposite direction? Use our arcseconds to gradians calculator to switch your starting unit immediately. You can also explore related tools such as converting arcseconds to gradians, converting degrees to radians, or converting radians to degrees.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Gradians (grad) to Arcseconds (″)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Gradian (Gon) (grad) & Second of Arc (″)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (grad to ″)