Convert Microsteradian to Square Arcsecond
Enter the number of microsteradians that you want to convert to square arcseconds.
How to Convert Microsteradians to Square Arcseconds
The microsteradian and square arcsecond are both units of solid angle. 1 microsteradian equals 42545.225575 square arcseconds. This means to convert microsteradians to square arcseconds, you multiply by 42545.225575.
Formula
Step-by-Step Example
Convert 5 μsr to square arcseconds:
We need to convert microsteradians to square arcseconds
Since 1 μsr = 42545.225575 arcsec², multiply by 42545.225575
5 × 42545.225575 = 212726.12787
5 μsr = 212726.12787 arcsec²
Microsteradian to Square Arcsecond Conversion Table
Quick reference table for common microsteradian to square arcsecond conversions. Click any value for detailed calculation.
| Microsteradians (μsr) | Square Arcseconds (arcsec²) |
|---|---|
| 0.1 μsr | 4254.5225575 arcsec² |
| 0.5 μsr | 21272.612787 arcsec² |
| 1 μsr | 42545.225575 arcsec² |
| 2 μsr | 85090.45115 arcsec² |
| 5 μsr | 212726.12787 arcsec² |
| 10 μsr | 425452.25575 arcsec² |
| 25 μsr | 1063630.6394 arcsec² |
| 50 μsr | 2127261.2787 arcsec² |
| 100 μsr | 4254522.5575 arcsec² |
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.
Square Arcsecond (arcsec²)
A square arcsecond equals (1/3600)² of a square degree or about 2.35×10⁻¹¹ steradians. One square arcminute = 3,600 square arcseconds. Measures individual star disks, exoplanet host star separation, and high-resolution imaging pixels.
Frequently Asked Questions
How do I convert microsteradians to square arcseconds?
To convert microsteradians to square arcseconds, multiply the value by 42545.225575. For example, 10 μsr = 425452.25575 arcsec².
How many square arcseconds are in 1 microsteradian?
1 microsteradian equals 42545.225575 square arcseconds.
What is the formula for microsteradians to square arcseconds?
The formula is: arcsec² = μsr × 42545.225575.