Radians to Arcminutes Converter
Enter the angle in radians below to convert it to arcminutes.
Convert Radians to Arcminutes
Enter a value in radians (rad) to convert to arcminutes (′).
Radian to Minute of Arc Conversion Table
Table showing various radian measurements converted to arcminutes. Click any preset value or arrow to load it into the converter.
| Radians (rad) | Arcminutes (′) |
|---|---|
| 1 rad | 3,437.7467708 ′ |
| 2 rad | 6,875.4935416 ′ |
| 2.5 rad | 8,594.366927 ′ |
| 5 rad | 17,188.7338539 ′ |
| 10 rad | 34,377.4677078 ′ |
| 15 rad | 51,566.2015618 ′ |
| 20 rad | 68,754.9354157 ′ |
| 25 rad | 85,943.6692696 ′ |
| 30 rad | 103,132.4031235 ′ |
| 50 rad | 171,887.3385392 ′ |
How to Convert Radians to Arcminutes
To convert radians to arcminutes, multiply the angle by the following conversion ratio: 3,437.7467708 arcminutes/radian.
Since one radian is equal to 3,437.7467708 arcminutes, you can use this simple formula to convert:
The angle in arcminutes is equal to the angle in radians multiplied by 3,437.7467708.
For example, here's how to convert 5 radians to arcminutes using the formula above.
How Many Arcminutes Are in a Radian?
There are 3,437.7467708 arcminutes in a radian, which is why we use this value in the formula above.
Our radian to minute of arc calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians and arcminutes are both units used to measure angle. Keep reading to learn more about each unit.
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°). [1]
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.
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. [2]
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.
When converting angle between radians (rad) and arcminutes (′), keep full floating-point precision (1 rad = 3,437.7467708 ′; 1 ′ = 0.000290888 rad) during intermediate calculations and round only the final minute of arc figure to match your instrument tolerance.
More Radian & Minute of Arc Conversions
Need to calculate in the opposite direction? Use our arcminutes to radians calculator to switch your starting unit immediately. You can also explore related tools such as converting arcminutes to radians, converting radians to degrees, or converting radians to revolutions.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Radians (rad) to Arcminutes (′)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Radian (rad) & Minute of Arc (′)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (rad to ′)