Convert Square Degree to Microsteradian
Enter the number of square degrees that you want to convert to microsteradians.
How to Convert Square Degrees to Microsteradians
The square degree and microsteradian are both units of solid angle. 1 square degree equals 304.6174 microsteradians. This means to convert square degrees to microsteradians, you multiply by 304.6174.
Formula
Step-by-Step Example
Convert 5 deg² to microsteradians:
We need to convert square degrees to microsteradians
Since 1 deg² = 304.6174 μsr, multiply by 304.6174
5 × 304.6174 = 1523.087
5 deg² = 1523.087 μsr
Square Degree to Microsteradian Conversion Table
Quick reference table for common square degree to microsteradian conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Microsteradians (μsr) |
|---|---|
| 0.1 deg² | 30.46174 μsr |
| 0.5 deg² | 152.3087 μsr |
| 1 deg² | 304.6174 μsr |
| 2 deg² | 609.2348 μsr |
| 5 deg² | 1523.087 μsr |
| 10 deg² | 3046.174 μsr |
| 25 deg² | 7615.435 μsr |
| 50 deg² | 15230.87 μsr |
| 100 deg² | 30461.74 μsr |
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.
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 degrees to microsteradians?
To convert square degrees to microsteradians, multiply the value by 304.6174. For example, 10 deg² = 3046.174 μsr.
How many microsteradians are in 1 square degree?
1 square degree equals 304.6174 microsteradians.
What is the formula for square degrees to microsteradians?
The formula is: μsr = deg² × 304.6174.