Convert Square Arcminute to Steradian
Convert square arcminutes to steradians by entering a value below.
How to Convert Square Arcminutes to Steradians
The square arcminute and steradian are both units of solid angle. 1 steradian equals 11818109.835 square arcminutes. This means to convert square arcminutes to steradians, you divide by 11818109.835.
Formula
Step-by-Step Example
Convert 5 arcmin² to steradians:
We need to convert square arcminutes to steradians
Since 1 sr = 11818109.835 arcmin², divide by 11818109.835
5 ÷ 11818109.835 = 4.230795e-7
5 arcmin² = 4.230795e-7 sr
Square Arcminute to Steradian Conversion Table
Quick reference table for common square arcminute to steradian conversions. Click any value for detailed calculation.
| Square Arcminutes (arcmin²) | Steradians (sr) |
|---|---|
| 0.1 arcmin² | 8.46159e-9 sr |
| 0.5 arcmin² | 4.230795e-8 sr |
| 1 arcmin² | 8.46159e-8 sr |
| 2 arcmin² | 1.692318e-7 sr |
| 5 arcmin² | 4.230795e-7 sr |
| 10 arcmin² | 8.46159e-7 sr |
| 25 arcmin² | 2.1153975e-6 sr |
| 50 arcmin² | 4.230795e-6 sr |
| 100 arcmin² | 8.46159e-6 sr |
About These Units
Square Arcminute (arcmin²)
A square arcminute equals (1/60)² of a square degree or about 8.46×10⁻⁸ steradians. One square degree = 3,600 square arcminutes. Used for small astronomical fields: nebula sizes, galaxy images, and detector pixel scales. Full Moon ≈ 720 arcmin².
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.
Frequently Asked Questions
How do I convert square arcminutes to steradians?
To convert square arcminutes to steradians, divide the value by 11818109.835. For example, 10 arcmin² = 8.46159e-7 sr.
How many steradians are in 1 square arcminute?
1 square arcminute equals 8.46159e-8 steradians.
What is the formula for square arcminutes to steradians?
The formula is: sr = arcmin² ÷ 11818109.835.