Convert Square Degree to Millisteradian
Enter the number of square degrees that you want to convert to millisteradians.
How to Convert Square Degrees to Millisteradians
The square degree and millisteradian are both units of solid angle. 1 millisteradian equals 3.2828065632 square degrees. This means to convert square degrees to millisteradians, you divide by 3.2828065632.
Formula
Step-by-Step Example
Convert 5 deg² to millisteradians:
We need to convert square degrees to millisteradians
Since 1 msr = 3.2828065632 deg², divide by 3.2828065632
5 ÷ 3.2828065632 = 1.523087
5 deg² = 1.523087 msr
Square Degree to Millisteradian Conversion Table
Quick reference table for common square degree to millisteradian conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Millisteradians (msr) |
|---|---|
| 1 deg² | 0.3046174 msr |
| 2 deg² | 0.6092348 msr |
| 5 deg² | 1.523087 msr |
| 10 deg² | 3.046174 msr |
| 15 deg² | 4.569261 msr |
| 20 deg² | 6.092348 msr |
| 25 deg² | 7.615435 msr |
| 50 deg² | 15.23087 msr |
| 100 deg² | 30.46174 msr |
About These Units
Square Degree (deg²)
A square degree (deg² or sq.deg.) equals (π/180)² ≈ 0.000305 steradians. A complete sphere covers 41,253 square degrees. The full Moon is about 0.2 deg². Common in astronomy: survey areas, galaxy cluster sizes, and cosmic microwave background maps.
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.
Frequently Asked Questions
How do I convert square degrees to millisteradians?
To convert square degrees to millisteradians, divide the value by 3.2828065632. For example, 10 deg² = 3.046174 msr.
How many millisteradians are in 1 square degree?
1 square degree equals 0.3046174 millisteradians.
What is the formula for square degrees to millisteradians?
The formula is: msr = deg² ÷ 3.2828065632.