Convert Microsteradian to Spherical Quadrant
Type the number of microsteradians that you wish to convert to spherical quadrants.
How to Convert Microsteradians to Spherical Quadrants
The microsteradian and spherical quadrant are both units of solid angle. 1 spherical quadrant equals 3141592.654 microsteradians. This means to convert microsteradians to spherical quadrants, you divide by 3141592.654.
Formula
Step-by-Step Example
Convert 5 μsr to spherical quadrants:
We need to convert microsteradians to spherical quadrants
Since 1 quadrant = 3141592.654 μsr, divide by 3141592.654
5 ÷ 3141592.654 = 1.5915494307e-6
5 μsr = 1.5915494307e-6 quadrant
Microsteradian to Spherical Quadrant Conversion Table
Quick reference table for common microsteradian to spherical quadrant conversions. Click any value for detailed calculation.
| Microsteradians (μsr) | Spherical Quadrants (quadrant) |
|---|---|
| 0.1 μsr | 3.1830988614e-8 quadrant |
| 0.5 μsr | 1.5915494307e-7 quadrant |
| 1 μsr | 3.1830988614e-7 quadrant |
| 2 μsr | 6.3661977228e-7 quadrant |
| 5 μsr | 1.5915494307e-6 quadrant |
| 10 μsr | 3.1830988614e-6 quadrant |
| 25 μsr | 7.9577471536e-6 quadrant |
| 50 μsr | 1.5915494307e-5 quadrant |
| 100 μsr | 3.1830988614e-5 quadrant |
About These Units
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.
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 microsteradians to spherical quadrants?
To convert microsteradians to spherical quadrants, divide the value by 3141592.654. For example, 10 μsr = 3.1830988614e-6 quadrant.
How many spherical quadrants are in 1 microsteradian?
1 microsteradian equals 3.1830988614e-7 spherical quadrants.
What is the formula for microsteradians to spherical quadrants?
The formula is: quadrant = μsr ÷ 3141592.654.