Convert Steradian to Square Degree
Enter the number of steradians that you want to convert to square degrees.
How to Convert Steradians to Square Degrees
The steradian and square degree are both units of solid angle. 1 steradian equals 3282.8065632 square degrees. This means to convert steradians to square degrees, you multiply by 3282.8065632.
Formula
Step-by-Step Example
Convert 5 sr to square degrees:
We need to convert steradians to square degrees
Since 1 sr = 3282.8065632 deg², multiply by 3282.8065632
5 × 3282.8065632 = 16414.032816
5 sr = 16414.032816 deg²
Steradian to Square Degree Conversion Table
Quick reference table for common steradian to square degree conversions. Click any value for detailed calculation.
| Steradians (sr) | Square Degrees (deg²) |
|---|---|
| 0.1 sr | 328.28065632 deg² |
| 0.5 sr | 1641.4032816 deg² |
| 1 sr | 3282.8065632 deg² |
| 2 sr | 6565.6131265 deg² |
| 5 sr | 16414.032816 deg² |
| 10 sr | 32828.065632 deg² |
| 25 sr | 82070.164081 deg² |
| 50 sr | 164140.32816 deg² |
| 100 sr | 328280.65632 deg² |
About These Units
Steradian (sr)
The steradian (sr) is the SI unit of solid angle—the 3D analog of the radian. One steradian is the solid angle subtended by a spherical cap with area r² on a sphere of radius r. A complete sphere subtends 4π ≈ 12.566 steradians. Used in radiometry, photometry, and antenna theory.
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 steradians to square degrees?
To convert steradians to square degrees, multiply the value by 3282.8065632. For example, 10 sr = 32828.065632 deg².
How many square degrees are in 1 steradian?
1 steradian equals 3282.8065632 square degrees.
What is the formula for steradians to square degrees?
The formula is: deg² = sr × 3282.8065632.