Arcseconds to Degrees Converter
Enter the angle in arcseconds below to convert it to degrees.
Convert Arcseconds to Degrees
Enter a value in arcseconds (″) to convert to degrees (°).
Second of Arc to Degree Conversion Table
Table showing various second of arc measurements converted to degrees. Click any preset value or arrow to load it into the converter.
| Arcseconds (″) | Degrees (°) |
|---|---|
| 1 ″ | 0.000277778 ° |
| 2 ″ | 0.000555556 ° |
| 2.5 ″ | 0.000694444 ° |
| 5 ″ | 0.0013889 ° |
| 10 ″ | 0.0027778 ° |
| 15 ″ | 0.0041667 ° |
| 20 ″ | 0.0055556 ° |
| 25 ″ | 0.0069444 ° |
| 30 ″ | 0.0083333 ° |
| 50 ″ | 0.0138889 ° |
How to Convert Arcseconds to Degrees
To convert arcseconds to degrees, multiply the angle by the following conversion ratio: 0.000277778 degrees/second of arc.
Since one second of arc is equal to 0.000277778 degrees, you can use this simple formula to convert:
The angle in degrees is equal to the angle in arcseconds multiplied by 0.000277778.
For example, here's how to convert 5 arcseconds to degrees using the formula above.
How Many Degrees Are in a Second of Arc?
There are 0.000277778 degrees in a second of arc, which is why we use this value in the formula above.
Our second of arc to degree calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Arcseconds and degrees are both units used to measure angle. Keep reading to learn more about each unit.
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. [1]
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.
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 arcseconds (″) and degrees (°), keep full floating-point precision (1 ″ = 0.000277778 °; 1 ° = 3,600 ″) during intermediate calculations and round only the final degree figure to match your instrument tolerance.
More Second of Arc & Degree Conversions
Need to calculate in the opposite direction? Use our degrees to arcseconds calculator to switch your starting unit immediately. You can also explore related tools such as converting degrees to arcseconds, converting radians to degrees, 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 — Arcseconds (″) to Degrees (°)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Second of Arc (″) & Degree (°)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (″ to °)