Arcminutes to Radians Converter
Enter the angle in arcminutes below to convert it to radians.
Convert Arcminutes to Radians
Enter a value in arcminutes (′) to convert to radians (rad).
Minute of Arc to Radian Conversion Table
Table showing various minute of arc measurements converted to radians. Click any preset value or arrow to load it into the converter.
| Arcminutes (′) | Radians (rad) |
|---|---|
| 1 ′ | 0.000290888 rad |
| 2 ′ | 0.000581776 rad |
| 2.5 ′ | 0.000727221 rad |
| 5 ′ | 0.0014544 rad |
| 10 ′ | 0.0029089 rad |
| 15 ′ | 0.0043633 rad |
| 20 ′ | 0.0058178 rad |
| 25 ′ | 0.0072722 rad |
| 30 ′ | 0.0087266 rad |
| 50 ′ | 0.0145444 rad |
How to Convert Arcminutes to Radians
To convert arcminutes to radians, multiply the angle by the following conversion ratio: 0.000290888 radians/minute of arc.
Since one minute of arc is equal to 0.000290888 radians, you can use this simple formula to convert:
The angle in radians is equal to the angle in arcminutes multiplied by 0.000290888.
For example, here's how to convert 5 arcminutes to radians using the formula above.
How Many Radians Are in a Minute of Arc?
There are 0.000290888 radians in a minute of arc, which is why we use this value in the formula above.
Our minute of arc to radian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Arcminutes and radians 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 Radian?
A radian is a unit of angle equal to 57.2957795 degrees (°), the base unit for angle. SI angle unit (1 rad ≈ 57.29578°). [2]
The radian is classified as an International System of Units (SI) unit of angle. Radians can be abbreviated as rad; for example, 1 radian can be written as 1 rad.
When working with radians (rad) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, radians (rad) are widely used across standard angle applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.
When converting angle between arcminutes (′) and radians (rad), keep full floating-point precision (1 ′ = 0.000290888 rad; 1 rad = 3,437.7467708 ′) during intermediate calculations and round only the final radian figure to match your instrument tolerance.
More Minute of Arc & Radian Conversions
Need to calculate in the opposite direction? Use our radians to arcminutes calculator to switch your starting unit immediately. You can also explore related tools such as converting radians to arcminutes, converting degrees to radians, 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 Radians (rad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Minute of Arc (′) & Radian (rad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (′ to rad)