Radians to Arcseconds Converter
Enter the angle in radians below to convert it to arcseconds.
Convert Radians to Arcseconds
Enter a value in radians (rad) to convert to arcseconds (″).
Radian to Second of Arc Conversion Table
Table showing various radian measurements converted to arcseconds. Click any preset value or arrow to load it into the converter.
| Radians (rad) | Arcseconds (″) |
|---|---|
| 0.0000001 rad | 0.0206265 ″ |
| 0.0000002 rad | 0.041253 ″ |
| 0.0000003 rad | 0.0618794 ″ |
| 0.0000004 rad | 0.0825059 ″ |
| 0.0000005 rad | 0.1031324 ″ |
| 0.0000006 rad | 0.1237589 ″ |
| 0.0000007 rad | 0.1443854 ″ |
| 0.0000008 rad | 0.1650118 ″ |
| 0.0000009 rad | 0.1856383 ″ |
| 0.00000001 rad | 0.0020626 ″ |
How to Convert Radians to Arcseconds
To convert radians to arcseconds, multiply the angle by the following conversion ratio: 206,264.8062471 arcseconds/radian.
Since one radian is equal to 206,264.8062471 arcseconds, you can use this simple formula to convert:
The angle in arcseconds is equal to the angle in radians multiplied by 206,264.8062471.
For example, here's how to convert 5 radians to arcseconds using the formula above.
How Many Arcseconds Are in a Radian?
There are 206,264.8062471 arcseconds in a radian, which is why we use this value in the formula above.
Our radian to second of arc calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians and arcseconds 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 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. [2]
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.
When converting angle between radians (rad) and arcseconds (″), keep full floating-point precision (1 rad = 206,264.8062471 ″; 1 ″ = 0.000004848 rad) during intermediate calculations and round only the final second of arc figure to match your instrument tolerance.
More Radian & Second of Arc Conversions
Need to calculate in the opposite direction? Use our arcseconds to radians calculator to switch your starting unit immediately. You can also explore related tools such as converting arcseconds 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 Arcseconds (″)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Radian (rad) & Second of Arc (″)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (rad to ″)