Convert Square Degree to Square Arcsecond
Enter the number of square degrees that you want to convert to square arcseconds.
How to Convert Square Degrees to Square Arcseconds
The square degree and square arcsecond are both units of solid angle. 1 square degree equals 12960015.997 square arcseconds. This means to convert square degrees to square arcseconds, you multiply by 12960015.997.
Formula
Step-by-Step Example
Convert 5 deg² to square arcseconds:
We need to convert square degrees to square arcseconds
Since 1 deg² = 12960015.997 arcsec², multiply by 12960015.997
5 × 12960015.997 = 64800079.985
5 deg² = 64800079.985 arcsec²
Square Degree to Square Arcsecond Conversion Table
Quick reference table for common square degree to square arcsecond conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Square Arcseconds (arcsec²) |
|---|---|
| 0.1 deg² | 1296001.5997 arcsec² |
| 0.5 deg² | 6480007.9985 arcsec² |
| 1 deg² | 12960015.997 arcsec² |
| 2 deg² | 25920031.994 arcsec² |
| 5 deg² | 64800079.985 arcsec² |
| 10 deg² | 129600159.97 arcsec² |
| 25 deg² | 324000399.93 arcsec² |
| 50 deg² | 648000799.85 arcsec² |
| 100 deg² | 1296001599.7 arcsec² |
About These Units
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.
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.
Frequently Asked Questions
How do I convert square degrees to square arcseconds?
To convert square degrees to square arcseconds, multiply the value by 12960015.997. For example, 10 deg² = 129600159.97 arcsec².
How many square arcseconds are in 1 square degree?
1 square degree equals 12960015.997 square arcseconds.
What is the formula for square degrees to square arcseconds?
The formula is: arcsec² = deg² × 12960015.997.