Convert Steradian to % Sphere
Type the number of steradians that you wish to convert to percent of sphere.
How to Convert Steradians to Percent of Sphere
The steradian and percent of sphere are both units of solid angle. 1 steradian equals 7.9577475436 percent of sphere. This means to convert steradians to percent of sphere, you multiply by 7.9577475436.
Formula
Step-by-Step Example
Convert 5 sr to percent of sphere:
We need to convert steradians to percent of sphere
Since 1 sr = 7.9577475436 %sphere, multiply by 7.9577475436
5 × 7.9577475436 = 39.788737718
5 sr = 39.788737718 %sphere
Steradian to Percent of Sphere Conversion Table
Quick reference table for common steradian to percent of sphere conversions. Click any value for detailed calculation.
| Steradians (sr) | Percent of Sphere (%sphere) |
|---|---|
| 1 sr | 7.9577475436 %sphere |
| 2 sr | 15.915495087 %sphere |
| 5 sr | 39.788737718 %sphere |
| 10 sr | 79.577475436 %sphere |
| 15 sr | 119.36621315 %sphere |
| 20 sr | 159.15495087 %sphere |
| 25 sr | 198.94368859 %sphere |
| 50 sr | 397.88737718 %sphere |
| 100 sr | 795.77475436 %sphere |
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.
Percent of Sphere (%sphere)
One percent of a full sphere equals 4π/100 ≈ 0.1257 steradians or about 412.5 square degrees. Provides intuitive scale: a hemisphere is 50%, a cone with 60° half-angle covers about 13%. Used in illumination design and radiation calculations.
Frequently Asked Questions
How do I convert steradians to percent of sphere?
To convert steradians to percent of sphere, multiply the value by 7.9577475436. For example, 10 sr = 79.577475436 %sphere.
How many percent of sphere are in 1 steradian?
1 steradian equals 7.9577475436 percent of sphere.
What is the formula for steradians to percent of sphere?
The formula is: %sphere = sr × 7.9577475436.