Arc Seconds to Degrees Converter
This tool converts Arc Seconds (″) to Degrees (°) quickly and accurately. Whether you are working with trigonometry, navigation, or physics calculations, it delivers instant results right in your browser.
Understanding the Units
Arc Second (″)
Degree (°)
Who Uses This Conversion?
- Students: Learning trigonometry and geometry
- Engineers: Working with rotational mechanics and control systems
- Navigators: Converting compass bearings and coordinates
- Astronomers: Measuring celestial positions and angles
- Surveyors: Working with land measurements
How to Use
Converting arc seconds to degrees takes just seconds:
Enter Arc Seconds
Type the arc second value into the first input field.
View the Degrees
The result in degrees appears instantly in the second field as you type.
Copy the Result
Use the copy button to place the result on your clipboard whenever you need it.
Reverse Conversion
Need to convert Degrees to Arc Seconds instead? Click the swap button (↔) to reverse the direction, or simply type in the Degrees field directly.
Tips for Accurate Conversions
- Use decimal points for precise values (e.g., 45.5 instead of 46)
- Large numbers are automatically formatted with thousand separators
- Results update instantly as you type
Common Applications
- Trigonometric calculations
- Navigation and compass readings
- Astronomy and celestial measurements
- Engineering and physics problems
Features
Instant Conversion
Results appear as you type, with no convert button to press. Calculations use precise conversion factors.
Bidirectional Input
Type in either field and the other updates automatically, so you can work in whichever direction you need.
Copy Results
Click the copy button next to any value to copy it to your clipboard for documents, emails, or other apps.
Quick Reference Table
The reference section shows common arc-second-to-degree conversions at a glance for fast lookups.
Unit Flexibility
Use the dropdown menus to switch to other angle units: Degrees, Radians, Gradians, Turns, Arc Minutes, Arc Seconds, and more.
Mobile Friendly
Works on all devices — desktop, tablet, and mobile — so you can convert angle units anywhere.
Common Conversions
| Arc Seconds (″) | Degrees (°) |
|---|---|
| 1 ″ | 2.78e-4 ° |
| 10 ″ | 0.002778 ° |
| 30 ″ | 0.008333 ° |
| 60 ″ | 0.016667 ° |
| 90 ″ | 0.025 ° |
| 180 ″ | 0.05 ° |
Frequently Asked Questions
How do I convert Arc Seconds to Degrees?
Multiply the arc second value by 0.0002777778. For example, 1 ″ = 0.0002777778 °.
What is the formula for Arc Seconds to Degrees?
The conversion formula is ° = ″ × 0.0002777778. Conversely, to convert back: ″ = ° × 3,600.
What is an Arc Second?
One sixtieth of an arc minute or 1/3600 of a degree. Used for precise astronomical measurements and geodetic coordinates.
What is a Degree?
The most common unit of angle measurement. One full rotation equals 360 degrees. Used in everyday applications, navigation, and education.
Is this converter accurate?
Yes, the converter uses mathematically precise conversion factors. For example, 1 radian = 180/π degrees. Results are accurate for scientific and engineering applications.
Can I convert other angle units?
Yes, use the dropdown menus to select from many angle units including Degrees, Radians, Gradians, Turns, Arc Minutes, Arc Seconds, and more.
Does this work offline?
Once the page loads, all calculations happen in your browser. However, you need an internet connection for the initial page load.
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