Convert Spherical Quadrant to Steradian
Convert spherical quadrants to steradians by entering a value below.
How to Convert Spherical Quadrants to Steradians
The spherical quadrant and steradian are both units of solid angle. 1 spherical quadrant equals 3.141592654 steradians. This means to convert spherical quadrants to steradians, you multiply by 3.141592654.
Formula
Step-by-Step Example
Convert 5 quadrant to steradians:
We need to convert spherical quadrants to steradians
Since 1 quadrant = 3.141592654 sr, multiply by 3.141592654
5 × 3.141592654 = 15.70796327
5 quadrant = 15.70796327 sr
Spherical Quadrant to Steradian Conversion Table
Quick reference table for common spherical quadrant to steradian conversions. Click any value for detailed calculation.
| Spherical Quadrants (quadrant) | Steradians (sr) |
|---|---|
| 1 quadrant | 3.141592654 sr |
| 2 quadrant | 6.283185308 sr |
| 5 quadrant | 15.70796327 sr |
| 10 quadrant | 31.41592654 sr |
| 15 quadrant | 47.12388981 sr |
| 20 quadrant | 62.83185308 sr |
| 25 quadrant | 78.53981635 sr |
| 50 quadrant | 157.0796327 sr |
| 100 quadrant | 314.1592654 sr |
About These Units
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.
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 spherical quadrants to steradians?
To convert spherical quadrants to steradians, multiply the value by 3.141592654. For example, 10 quadrant = 31.41592654 sr.
How many steradians are in 1 spherical quadrant?
1 spherical quadrant equals 3.141592654 steradians.
What is the formula for spherical quadrants to steradians?
The formula is: sr = quadrant × 3.141592654.