Convert Millisteradian to Square Arcsecond
Enter the number of millisteradians that you want to convert to square arcseconds.
How to Convert Millisteradians to Square Arcseconds
The millisteradian and square arcsecond are both units of solid angle. 1 millisteradian equals 42545225.575 square arcseconds. This means to convert millisteradians to square arcseconds, you multiply by 42545225.575.
Formula
Step-by-Step Example
Convert 5 msr to square arcseconds:
We need to convert millisteradians to square arcseconds
Since 1 msr = 42545225.575 arcsec², multiply by 42545225.575
5 × 42545225.575 = 212726127.87
5 msr = 212726127.87 arcsec²
Millisteradian to Square Arcsecond Conversion Table
Quick reference table for common millisteradian to square arcsecond conversions. Click any value for detailed calculation.
| Millisteradians (msr) | Square Arcseconds (arcsec²) |
|---|---|
| 0.1 msr | 4254522.5575 arcsec² |
| 0.5 msr | 21272612.787 arcsec² |
| 1 msr | 42545225.575 arcsec² |
| 2 msr | 85090451.15 arcsec² |
| 5 msr | 212726127.87 arcsec² |
| 10 msr | 425452255.75 arcsec² |
| 25 msr | 1063630639.4 arcsec² |
| 50 msr | 2127261278.7 arcsec² |
| 100 msr | 4254522557.5 arcsec² |
About These Units
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.
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 millisteradians to square arcseconds?
To convert millisteradians to square arcseconds, multiply the value by 42545225.575. For example, 10 msr = 425452255.75 arcsec².
How many square arcseconds are in 1 millisteradian?
1 millisteradian equals 42545225.575 square arcseconds.
What is the formula for millisteradians to square arcseconds?
The formula is: arcsec² = msr × 42545225.575.