Convert Square Arcsecond to Square Degree
Enter the number of square arcseconds that you want to convert to square degrees.
How to Convert Square Arcseconds to Square Degrees
The square arcsecond and square degree are both units of solid angle. 1 square degree equals 12960015.997 square arcseconds. This means to convert square arcseconds to square degrees, you divide by 12960015.997.
Formula
Step-by-Step Example
Convert 5 arcsec² to square degrees:
We need to convert square arcseconds to square degrees
Since 1 deg² = 12960015.997 arcsec², divide by 12960015.997
5 ÷ 12960015.997 = 3.8580199293e-7
5 arcsec² = 3.8580199293e-7 deg²
Square Arcsecond to Square Degree Conversion Table
Quick reference table for common square arcsecond to square degree conversions. Click any value for detailed calculation.
| Square Arcseconds (arcsec²) | Square Degrees (deg²) |
|---|---|
| 0.1 arcsec² | 7.7160398585e-9 deg² |
| 0.5 arcsec² | 3.8580199293e-8 deg² |
| 1 arcsec² | 7.7160398585e-8 deg² |
| 2 arcsec² | 1.5432079717e-7 deg² |
| 5 arcsec² | 3.8580199293e-7 deg² |
| 10 arcsec² | 7.7160398585e-7 deg² |
| 25 arcsec² | 1.9290099646e-6 deg² |
| 50 arcsec² | 3.8580199293e-6 deg² |
| 100 arcsec² | 7.7160398585e-6 deg² |
About These Units
Square Arcsecond (arcsec²)
A square arcsecond equals (1/3600)² of a square degree or about 2.35×10⁻¹¹ steradians. One square arcminute = 3,600 square arcseconds. Measures individual star disks, exoplanet host star separation, and high-resolution imaging pixels.
Square Degree (deg²)
A square degree (deg² or sq.deg.) equals (π/180)² ≈ 0.000305 steradians. A complete sphere covers 41,253 square degrees. The full Moon is about 0.2 deg². Common in astronomy: survey areas, galaxy cluster sizes, and cosmic microwave background maps.
Frequently Asked Questions
How do I convert square arcseconds to square degrees?
To convert square arcseconds to square degrees, divide the value by 12960015.997. For example, 10 arcsec² = 7.7160398585e-7 deg².
How many square degrees are in 1 square arcsecond?
1 square arcsecond equals 7.7160398585e-8 square degrees.
What is the formula for square arcseconds to square degrees?
The formula is: deg² = arcsec² ÷ 12960015.997.