Arcseconds to Degrees Converter
Convert arcseconds (arcsec) to degrees (°) with the calculator below. Enter a value in either field for an instant result.
10 arcsec equals 0.002777777778 °.
Arcseconds to Degrees Conversion Table
Use these common values as a quick reference.
| Arcseconds (arcsec) | Degrees (°) |
|---|---|
| 0.01 arcsec | 0.000002777777778 ° |
| 0.1 arcsec | 0.00002777777778 ° |
| 1 arcsec | 0.0002777777778 ° |
| 2 arcsec | 0.0005555555556 ° |
| 5 arcsec | 0.001388888889 ° |
| 10 arcsec | 0.002777777778 ° |
| 20 arcsec | 0.005555555556 ° |
| 50 arcsec | 0.01388888889 ° |
| 100 arcsec | 0.02777777778 ° |
| 1000 arcsec | 0.2777777778 ° |
How to Convert Arcsecond to Degree
Conversion: 1 arcsec = 0.0002777777778 °.
Formula: degrees = arcseconds × 0.0002777777778
- Enter the arcsecond value.
- Apply the conversion formula shown above.
- Round the result only as much as your use requires.
Example: 10 arcsec = 0.002777777778 °.
Understanding the Arcsecond to Degree Conversion
One arcsecond equals 0.0002777777778 °. Because this factor is less than one, the numerical value usually becomes smaller when converting from arcsec to °, even though the measured quantity does not change.
Angle units describe rotation or separation between directions. Degrees are familiar in everyday use, radians are standard in mathematics, and arcminutes and arcseconds support very precise measurement.
Arcsecond is commonly used for astronomy and precision positioning, while Degree is commonly used for navigation, geometry and everyday angles. Converting between them makes measurements easier to compare without changing the quantity being described.
Worked Arcsecond to Degree Examples
These examples show how the conversion works for several practical values.
- 0.5 arcsec: 0.5 × 0.0002777777778 = 0.0001388888889 °.
- 3 arcsec: 3 × 0.0002777777778 = 0.0008333333333 °.
- 25 arcsec: 25 × 0.0002777777778 = 0.006944444444 °.
Accuracy, Precision and Rounding
Everyday Units stores each unit as a factor relative to a shared base unit—Radian. The entered value is converted to that base and then to degree.
The calculator normally shows up to ten significant digits and removes unnecessary trailing zeros. This balances accuracy with readability. If the result will be used in engineering, science, medicine, trade or another precision-sensitive setting, follow the rounding and tolerance rules required for that specific use.
Common mistakes to avoid
- Check that the selected symbols match the units shown in the source measurement.
- Do not round the conversion factor before completing the calculation.
- Keep the unit symbol beside the number so the result cannot be mistaken for another measurement.
About the Units
Arcsecond (arcsec)
Definition: One arcsecond is equal to 0.000004848136811 rad in the converter’s base system.
History and origin: One arcsecond is one sixtieth of an arcminute.
Current use: This unit is commonly used for astronomy and precision positioning.
Degree (°)
Definition: One degree is equal to 0.01745329252 rad in the converter’s base system.
History and origin: A full circle is divided into 360 degrees.
Current use: This unit is commonly used for navigation, geometry and everyday angles.
Frequently Asked Questions
How many degrees are in one arcsecond?
One arcsecond is 0.0002777777778 °. The calculator uses this relationship for every value entered.
What is the reverse degree to arcsecond conversion?
One degree equals 3600 arcsec. Use the reverse-conversion link below to open that calculator directly.
Can I convert decimal and very small values?
Yes. Enter integers, decimals, or very small values in either field. Results use sensible precision, with scientific notation only when it improves readability.
How should I round the result?
Keep the full calculator result during intermediate work, then round once at the end. Everyday estimates may need only two or three decimal places, while technical work may require more significant digits.
Is the arcsecond to degree conversion accurate?
The calculation uses the centralized conversion constant shown on this page. Everyday Units converts through the category’s base unit and keeps more precision internally than is normally needed for display.
How This Calculator Works
All calculations happen locally in your browser. No conversion request is sent to an external service. The same centralized unit definitions power the calculator, formula, examples and tables, which helps keep the figures consistent across every related page. Read our conversion methodology and sources for standards, assumptions and rounding details.
For a quick check, compare the forward and reverse relationships above: converting a value to ° and back to arcsec should return the original measurement, apart from normal display rounding.