Convert Square Arcsecond to Microsteradian
Type the number of square arcseconds that you wish to convert to microsteradians.
How to Convert Square Arcseconds to Microsteradians
The square arcsecond and microsteradian are both units of solid angle. 1 microsteradian equals 42545.225575 square arcseconds. This means to convert square arcseconds to microsteradians, you divide by 42545.225575.
Formula
Step-by-Step Example
Convert 5 arcsec² to microsteradians:
We need to convert square arcseconds to microsteradians
Since 1 μsr = 42545.225575 arcsec², divide by 42545.225575
5 ÷ 42545.225575 = 0.000117522
5 arcsec² = 0.000117522 μsr
Square Arcsecond to Microsteradian Conversion Table
Quick reference table for common square arcsecond to microsteradian conversions. Click any value for detailed calculation.
| Square Arcseconds (arcsec²) | Microsteradians (μsr) |
|---|---|
| 0.1 arcsec² | 2.35044e-6 μsr |
| 0.5 arcsec² | 1.17522e-5 μsr |
| 1 arcsec² | 2.35044e-5 μsr |
| 2 arcsec² | 4.70088e-5 μsr |
| 5 arcsec² | 0.000117522 μsr |
| 10 arcsec² | 0.000235044 μsr |
| 25 arcsec² | 0.00058761 μsr |
| 50 arcsec² | 0.00117522 μsr |
| 100 arcsec² | 0.00235044 μsr |
About These Units
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.
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 square arcseconds to microsteradians?
To convert square arcseconds to microsteradians, divide the value by 42545.225575. For example, 10 arcsec² = 0.000235044 μsr.
How many microsteradians are in 1 square arcsecond?
1 square arcsecond equals 2.35044e-5 microsteradians.
What is the formula for square arcseconds to microsteradians?
The formula is: μsr = arcsec² ÷ 42545.225575.