Arcminutes to Degrees Converter
Enter the angle in arcminutes below to convert it to degrees.
Convert Arcminutes to Degrees
Enter a value in arcminutes (′) to convert to degrees (°).
Minute of Arc to Degree Conversion Table
Table showing various minute of arc measurements converted to degrees. Click any preset value or arrow to load it into the converter.
| Arcminutes (′) | Degrees (°) |
|---|---|
| 1 ′ | 0.0166667 ° |
| 2 ′ | 0.0333333 ° |
| 5 ′ | 0.0833333 ° |
| 10 ′ | 0.1666667 ° |
| 15 ′ | 0.25 ° |
| 20 ′ | 0.3333333 ° |
| 25 ′ | 0.4166667 ° |
| 30 ′ | 0.5 ° |
| 50 ′ | 0.8333333 ° |
| 60 ′ | 1 ° |
How to Convert Arcminutes to Degrees
To convert arcminutes to degrees, multiply the angle by the following conversion ratio: 0.0166667 degrees/minute of arc.
Since one minute of arc is equal to 0.0166667 degrees, you can use this simple formula to convert:
The angle in degrees is equal to the angle in arcminutes multiplied by 0.0166667.
For example, here's how to convert 30 arcminutes to degrees using the formula above.
How Many Degrees Are in a Minute of Arc?
There are 0.0166667 degrees in a minute of arc, which is why we use this value in the formula above.
Our minute of arc to degree calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Arcminutes and degrees 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 Degree?
1/360 of a full circle. It serves as a primary reference unit for measuring angle across scientific and practical applications. [2]
The degree is classified as a standard unit of angle. Degrees can be abbreviated as °; for example, 1 degree can be written as 1 °.
As the primary coherent reference unit for angle in this category, all other angle units are mathematically anchored to the degree (°).
In practice, degrees (°) are widely used across standard angle applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angle between arcminutes (′) and degrees (°), keep full floating-point precision (1 ′ = 0.0166667 °; 1 ° = 60 ′) during intermediate calculations and round only the final degree figure to match your instrument tolerance.
More Minute of Arc & Degree Conversions
Need to calculate in the opposite direction? Use our degrees to arcminutes calculator to switch your starting unit immediately. You can also explore related tools such as converting degrees to arcminutes, converting radians to degrees, or converting angular mils 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 Degrees (°)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Minute of Arc (′) & Degree (°)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (′ to °)