Convert Millisteradian to Spherical Quadrant
Convert millisteradians to spherical quadrants by entering a value below.
How to Convert Millisteradians to Spherical Quadrants
The millisteradian and spherical quadrant are both units of solid angle. 1 spherical quadrant equals 3141.592654 millisteradians. This means to convert millisteradians to spherical quadrants, you divide by 3141.592654.
Formula
Step-by-Step Example
Convert 5 msr to spherical quadrants:
We need to convert millisteradians to spherical quadrants
Since 1 quadrant = 3141.592654 msr, divide by 3141.592654
5 ÷ 3141.592654 = 0.0015915494
5 msr = 0.0015915494 quadrant
Millisteradian to Spherical Quadrant Conversion Table
Quick reference table for common millisteradian to spherical quadrant conversions. Click any value for detailed calculation.
| Millisteradians (msr) | Spherical Quadrants (quadrant) |
|---|---|
| 0.1 msr | 3.1830988614e-5 quadrant |
| 0.5 msr | 0.0001591549 quadrant |
| 1 msr | 0.0003183099 quadrant |
| 2 msr | 0.0006366198 quadrant |
| 5 msr | 0.0015915494 quadrant |
| 10 msr | 0.0031830989 quadrant |
| 25 msr | 0.0079577472 quadrant |
| 50 msr | 0.0159154943 quadrant |
| 100 msr | 0.0318309886 quadrant |
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.
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 millisteradians to spherical quadrants?
To convert millisteradians to spherical quadrants, divide the value by 3141.592654. For example, 10 msr = 0.0031830989 quadrant.
How many spherical quadrants are in 1 millisteradian?
1 millisteradian equals 0.0003183099 spherical quadrants.
What is the formula for millisteradians to spherical quadrants?
The formula is: quadrant = msr ÷ 3141.592654.