Convert Spherical Quadrant to Millisteradian
Type the number of spherical quadrants that you wish to convert to millisteradians.
How to Convert Spherical Quadrants to Millisteradians
The spherical quadrant and millisteradian are both units of solid angle. 1 spherical quadrant equals 3141.592654 millisteradians. This means to convert spherical quadrants to millisteradians, you multiply by 3141.592654.
Formula
Step-by-Step Example
Convert 5 quadrant to millisteradians:
We need to convert spherical quadrants to millisteradians
Since 1 quadrant = 3141.592654 msr, multiply by 3141.592654
5 × 3141.592654 = 15707.96327
5 quadrant = 15707.96327 msr
Spherical Quadrant to Millisteradian Conversion Table
Quick reference table for common spherical quadrant to millisteradian conversions. Click any value for detailed calculation.
| Spherical Quadrants (quadrant) | Millisteradians (msr) |
|---|---|
| 0.1 quadrant | 314.1592654 msr |
| 0.5 quadrant | 1570.796327 msr |
| 1 quadrant | 3141.592654 msr |
| 2 quadrant | 6283.185308 msr |
| 5 quadrant | 15707.96327 msr |
| 10 quadrant | 31415.92654 msr |
| 25 quadrant | 78539.81635 msr |
| 50 quadrant | 157079.6327 msr |
| 100 quadrant | 314159.2654 msr |
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.
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.
Frequently Asked Questions
How do I convert spherical quadrants to millisteradians?
To convert spherical quadrants to millisteradians, multiply the value by 3141.592654. For example, 10 quadrant = 31415.92654 msr.
How many millisteradians are in 1 spherical quadrant?
1 spherical quadrant equals 3141.592654 millisteradians.
What is the formula for spherical quadrants to millisteradians?
The formula is: msr = quadrant × 3141.592654.