Convert Spherical Quadrant to Microsteradian
Type the number of spherical quadrants that you wish to convert to microsteradians.
How to Convert Spherical Quadrants to Microsteradians
The spherical quadrant and microsteradian are both units of solid angle. 1 spherical quadrant equals 3141592.654 microsteradians. This means to convert spherical quadrants to microsteradians, you multiply by 3141592.654.
Formula
Step-by-Step Example
Convert 5 quadrant to microsteradians:
We need to convert spherical quadrants to microsteradians
Since 1 quadrant = 3141592.654 μsr, multiply by 3141592.654
5 × 3141592.654 = 15707963.27
5 quadrant = 15707963.27 μsr
Spherical Quadrant to Microsteradian Conversion Table
Quick reference table for common spherical quadrant to microsteradian conversions. Click any value for detailed calculation.
| Spherical Quadrants (quadrant) | Microsteradians (μsr) |
|---|---|
| 0.1 quadrant | 314159.2654 μsr |
| 0.5 quadrant | 1570796.327 μsr |
| 1 quadrant | 3141592.654 μsr |
| 2 quadrant | 6283185.308 μsr |
| 5 quadrant | 15707963.27 μsr |
| 10 quadrant | 31415926.54 μsr |
| 25 quadrant | 78539816.35 μsr |
| 50 quadrant | 157079632.7 μsr |
| 100 quadrant | 314159265.4 μsr |
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.
Microsteradian (μsr)
A microsteradian (μsr) equals 10⁻⁶ steradians or about 11.8 square arcminutes. Used in astronomy for field of view specifications, laser beam divergence measurements, and telescope aperture calculations. A typical star appears as ~1 μsr from Earth.
Frequently Asked Questions
How do I convert spherical quadrants to microsteradians?
To convert spherical quadrants to microsteradians, multiply the value by 3141592.654. For example, 10 quadrant = 31415926.54 μsr.
How many microsteradians are in 1 spherical quadrant?
1 spherical quadrant equals 3141592.654 microsteradians.
What is the formula for spherical quadrants to microsteradians?
The formula is: μsr = quadrant × 3141592.654.