Convert Millisteradian to Percent of Sphere
Type the number of millisteradians that you wish to convert to percent of sphere.
How to Convert Millisteradians to Percent of Sphere
The millisteradian and percent of sphere are both units of solid angle. 1 percent of sphere equals 125.6637 millisteradians. This means to convert millisteradians to percent of sphere, you divide by 125.6637.
Formula
Step-by-Step Example
Convert 5 msr to percent of sphere:
We need to convert millisteradians to percent of sphere
Since 1 %sphere = 125.6637 msr, divide by 125.6637
5 ÷ 125.6637 = 0.0397887377
5 msr = 0.0397887377 %sphere
Millisteradian to Percent of Sphere Conversion Table
Quick reference table for common millisteradian to percent of sphere conversions. Click any value for detailed calculation.
| Millisteradians (msr) | Percent of Sphere (%sphere) |
|---|---|
| 0.1 msr | 0.0007957748 %sphere |
| 0.5 msr | 0.0039788738 %sphere |
| 1 msr | 0.0079577475 %sphere |
| 2 msr | 0.0159154951 %sphere |
| 5 msr | 0.0397887377 %sphere |
| 10 msr | 0.0795774754 %sphere |
| 25 msr | 0.1989436886 %sphere |
| 50 msr | 0.3978873772 %sphere |
| 100 msr | 0.7957747544 %sphere |
About These Units
Millisteradian (msr)
A millisteradian (msr) equals 0.001 steradians or about 3.28 square degrees. Used in radiometry, photometry, and light source specifications. LED beam angle calculations, radiation detector acceptance angles, and luminous intensity measurements use millisteradians.
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 millisteradians to percent of sphere?
To convert millisteradians to percent of sphere, divide the value by 125.6637. For example, 10 msr = 0.0795774754 %sphere.
How many percent of sphere are in 1 millisteradian?
1 millisteradian equals 0.0079577475 percent of sphere.
What is the formula for millisteradians to percent of sphere?
The formula is: %sphere = msr ÷ 125.6637.