Arcminutes to Gradians Converter
Enter the angle in arcminutes below to convert it to gradians.
Convert Arcminutes to Gradians
Enter a value in arcminutes (′) to convert to gradians (grad).
Minute of Arc to Gradian Conversion Table
Table showing various minute of arc measurements converted to gradians. Click any preset value or arrow to load it into the converter.
| Arcminutes (′) | Gradians (grad) |
|---|---|
| 1 ′ | 0.0185185 grad |
| 2 ′ | 0.037037 grad |
| 2.5 ′ | 0.0462963 grad |
| 5 ′ | 0.0925926 grad |
| 10 ′ | 0.1851852 grad |
| 15 ′ | 0.2777778 grad |
| 20 ′ | 0.3703704 grad |
| 25 ′ | 0.462963 grad |
| 30 ′ | 0.5555556 grad |
| 50 ′ | 0.9259259 grad |
How to Convert Arcminutes to Gradians
To convert arcminutes to gradians, multiply the angle by the following conversion ratio: 0.0185185 gradians/minute of arc.
Since one minute of arc is equal to 0.0185185 gradians, you can use this simple formula to convert:
The angle in gradians is equal to the angle in arcminutes multiplied by 0.0185185.
For example, here's how to convert 5 arcminutes to gradians using the formula above.
How Many Gradians Are in a Minute of Arc?
There are 0.0185185 gradians in a minute of arc, which is why we use this value in the formula above.
Our minute of arc to gradian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Arcminutes and gradians are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Minute of Arc?
A minute of arc is a unit of angle equal to 1/60 of a degree (0.0166667 °). 1/60 of a degree. [1]
The minute of arc is classified as a standard unit of angle. Arcminutes can be abbreviated as ′; for example, 1 minute of arc can be written as 1 ′.
When working with arcminutes (′) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, arcminutes (′) are widely used across standard angle applications 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 arcminutes (′) and gradians (grad), keep full floating-point precision (1 ′ = 0.0185185 grad; 1 grad = 54 ′) during intermediate calculations and round only the final gradian figure to match your instrument tolerance.
More Minute of Arc & Gradian Conversions
Need to calculate in the opposite direction? Use our gradians to arcminutes calculator to switch your starting unit immediately. You can also explore related tools such as converting gradians to arcminutes, converting degrees to gradians, or converting arcminutes to degrees.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Arcminutes (′) to Gradians (grad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Minute 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)