Convert arcseconds to degrees
Input the number of arcseconds you want to convert to degrees.
How to Convert Arcseconds to Degrees
The arcsecond and degree are both units of angle. 1 degree equals 3599.9999971 arcseconds. This means to convert arcseconds to degrees, you divide by 3599.9999971.
Formula
Step-by-Step Example
Convert 5 ″ to degrees:
We need to convert arcseconds to degrees
Since 1 ° = 3599.9999971 ″, divide by 3599.9999971
5 ÷ 3599.9999971 = 0.0013888889
5 ″ = 0.0013888889 °
Arcsecond to Degree Conversion Table
Quick reference table for common arcsecond to degree conversions. Click any value for detailed calculation.
| Arcseconds (″) | Degrees (°) |
|---|---|
| 0.1 ″ | 2.77777778e-5 ° |
| 0.5 ″ | 0.0001388889 ° |
| 1 ″ | 0.0002777778 ° |
| 2 ″ | 0.0005555556 ° |
| 5 ″ | 0.0013888889 ° |
| 10 ″ | 0.0027777778 ° |
| 25 ″ | 0.0069444445 ° |
| 50 ″ | 0.0138888889 ° |
| 100 ″ | 0.0277777778 ° |
About These Units
Arcsecond (″)
An arcsecond (″) is 1/60 of an arcminute or 1/3600 of a degree. Arcseconds measure stellar positions, telescope resolution, and atmospheric seeing. The Hubble Space Telescope resolves about 0.05 arcseconds. GPS accuracy is measured in arcseconds.
Degree (°)
A degree (°) is 1/360 of a full rotation, the most widely used angle unit. Degrees measure geographic coordinates, temperature, slopes, and rotations. A right angle is 90°, straight angle is 180°, full circle is 360°. Each degree contains 60 arcminutes.
Frequently Asked Questions
How do I convert arcseconds to degrees?
To convert arcseconds to degrees, divide the value by 3599.9999971. For example, 10 ″ = 0.0027777778 °.
How many degrees are in 1 arcsecond?
1 arcsecond equals 0.0002777778 degrees.
What is the formula for arcseconds to degrees?
The formula is: ° = ″ ÷ 3599.9999971.