Convert Percent of Sphere to Square Degree
Enter the number of percent of sphere that you want to convert to square degrees.
How to Convert Percent of Sphere to Square Degrees
The percent of sphere and square degree are both units of solid angle. 1 percent of sphere equals 412.52961912 square degrees. This means to convert percent of sphere to square degrees, you multiply by 412.52961912.
Formula
Step-by-Step Example
Convert 5 %sphere to square degrees:
We need to convert percent of sphere to square degrees
Since 1 %sphere = 412.52961912 deg², multiply by 412.52961912
5 × 412.52961912 = 2062.6480956
5 %sphere = 2062.6480956 deg²
Percent of Sphere to Square Degree Conversion Table
Quick reference table for common percent of sphere to square degree conversions. Click any value for detailed calculation.
| Percent of Sphere (%sphere) | Square Degrees (deg²) |
|---|---|
| 0.1 %sphere | 41.252961912 deg² |
| 0.5 %sphere | 206.26480956 deg² |
| 1 %sphere | 412.52961912 deg² |
| 2 %sphere | 825.05923824 deg² |
| 5 %sphere | 2062.6480956 deg² |
| 10 %sphere | 4125.2961912 deg² |
| 25 %sphere | 10313.240478 deg² |
| 50 %sphere | 20626.480956 deg² |
| 100 %sphere | 41252.961912 deg² |
About These Units
Percent of Sphere (%sphere)
One percent of a full sphere equals 4π/100 ≈ 0.1257 steradians or about 412.5 square degrees. Provides intuitive scale: a hemisphere is 50%, a cone with 60° half-angle covers about 13%. Used in illumination design and radiation calculations.
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.
Frequently Asked Questions
How do I convert percent of sphere to square degrees?
To convert percent of sphere to square degrees, multiply the value by 412.52961912. For example, 10 %sphere = 4125.2961912 deg².
How many square degrees are in 1 percent of sphere?
1 percent of sphere equals 412.52961912 square degrees.
What is the formula for percent of sphere to square degrees?
The formula is: deg² = %sphere × 412.52961912.