Degrees to Arcseconds Converter
Enter the angle in degrees below to convert it to arcseconds.
Convert Degrees to Arcseconds
Enter a value in degrees (°) to convert to arcseconds (″).
Degree to Second of Arc Conversion Table
Table showing various degree measurements converted to arcseconds. Click any preset value or arrow to load it into the converter.
How to Convert Degrees to Arcseconds
To convert degrees to arcseconds, multiply the angle by the following conversion ratio: 3,600 arcseconds/degree.
Since one degree is equal to 3,600 arcseconds, you can use this simple formula to convert:
The angle in arcseconds is equal to the angle in degrees multiplied by 3,600.
For example, here's how to convert 5 degrees to arcseconds using the formula above.
How Many Arcseconds Are in a Degree?
There are 3,600 arcseconds in a degree, which is why we use this value in the formula above.
Our degree to second of arc calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Degrees and arcseconds are both units used to measure angle. Keep reading to learn more about each unit.
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. [1]
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.
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 degrees (°) and arcseconds (″), keep full floating-point precision (1 ° = 3,600 ″; 1 ″ = 0.000277778 °) during intermediate calculations and round only the final second of arc figure to match your instrument tolerance.
More Degree & Second of Arc Conversions
Need to calculate in the opposite direction? Use our arcseconds to degrees calculator to switch your starting unit immediately. You can also explore related tools such as converting arcseconds to degrees, converting degrees to radians, or converting degrees to gradians.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Degrees (°) to Arcseconds (″)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Degree (°) & Second of Arc (″)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (° to ″)