Convert Steradian to Spherical Quadrant
Input the number of steradians you want to convert to spherical quadrants.
How to Convert Steradians to Spherical Quadrants
The steradian and spherical quadrant are both units of solid angle. 1 spherical quadrant equals 3.141592654 steradians. This means to convert steradians to spherical quadrants, you divide by 3.141592654.
Formula
Step-by-Step Example
Convert 5 sr to spherical quadrants:
We need to convert steradians to spherical quadrants
Since 1 quadrant = 3.141592654 sr, divide by 3.141592654
5 ÷ 3.141592654 = 1.5915494307
5 sr = 1.5915494307 quadrant
Steradian to Spherical Quadrant Conversion Table
Quick reference table for common steradian to spherical quadrant conversions. Click any value for detailed calculation.
| Steradians (sr) | Spherical Quadrants (quadrant) |
|---|---|
| 1 sr | 0.3183098861 quadrant |
| 2 sr | 0.6366197723 quadrant |
| 5 sr | 1.5915494307 quadrant |
| 10 sr | 3.1830988614 quadrant |
| 15 sr | 4.7746482921 quadrant |
| 20 sr | 6.3661977228 quadrant |
| 25 sr | 7.9577471536 quadrant |
| 50 sr | 15.915494307 quadrant |
| 100 sr | 31.830988614 quadrant |
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.
Spherical Quadrant (quadrant)
A spherical quadrant equals π steradians (≈3.142 sr)—one-quarter of a complete sphere. Equivalent to two octants or half a hemisphere. Represents the solid angle of one "quarter" of the sky bounded by two perpendicular great circles.
Frequently Asked Questions
How do I convert steradians to spherical quadrants?
To convert steradians to spherical quadrants, divide the value by 3.141592654. For example, 10 sr = 3.1830988614 quadrant.
How many spherical quadrants are in 1 steradian?
1 steradian equals 0.3183098861 spherical quadrants.
What is the formula for steradians to spherical quadrants?
The formula is: quadrant = sr ÷ 3.141592654.