Arcseconds to Gradians Converter
Enter the angle in arcseconds below to convert it to gradians.
Convert Arcseconds to Gradians
Enter a value in arcseconds (″) to convert to gradians (grad).
Second of Arc to Gradian Conversion Table
Table showing various second of arc measurements converted to gradians. Click any preset value or arrow to load it into the converter.
| Arcseconds (″) | Gradians (grad) |
|---|---|
| 1 ″ | 0.000308642 grad |
| 2 ″ | 0.000617284 grad |
| 2.5 ″ | 0.000771605 grad |
| 5 ″ | 0.0015432 grad |
| 10 ″ | 0.0030864 grad |
| 15 ″ | 0.0046296 grad |
| 20 ″ | 0.0061728 grad |
| 25 ″ | 0.007716 grad |
| 30 ″ | 0.0092593 grad |
| 50 ″ | 0.0154321 grad |
How to Convert Arcseconds to Gradians
To convert arcseconds to gradians, multiply the angle by the following conversion ratio: 0.000308642 gradians/second of arc.
Since one second of arc is equal to 0.000308642 gradians, you can use this simple formula to convert:
The angle in gradians is equal to the angle in arcseconds multiplied by 0.000308642.
For example, here's how to convert 5 arcseconds to gradians using the formula above.
How Many Gradians Are in a Second of Arc?
There are 0.000308642 gradians in a second of arc, which is why we use this value in the formula above.
Our second of arc to gradian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Arcseconds and gradians are both units used to measure angle. Keep reading to learn more about each unit.
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. [1]
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.
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°). [2]
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.
When converting angle between arcseconds (″) and gradians (grad), keep full floating-point precision (1 ″ = 0.000308642 grad; 1 grad = 3,240 ″) during intermediate calculations and round only the final gradian figure to match your instrument tolerance.
More Second of Arc & Gradian Conversions
Need to calculate in the opposite direction? Use our gradians to arcseconds calculator to switch your starting unit immediately. You can also explore related tools such as converting gradians to arcseconds, converting degrees to gradians, or converting degrees to radians.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Arcseconds (″) to Gradians (grad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Second of Arc (″) & Gradian (Gon) (grad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (″ to grad)