Convert Square Degree to Spherical Quadrant
Convert square degrees to spherical quadrants by entering a value below.
How to Convert Square Degrees to Spherical Quadrants
The square degree and spherical quadrant are both units of solid angle. 1 spherical quadrant equals 10313.240984 square degrees. This means to convert square degrees to spherical quadrants, you divide by 10313.240984.
Formula
Step-by-Step Example
Convert 5 deg² to spherical quadrants:
We need to convert square degrees to spherical quadrants
Since 1 quadrant = 10313.240984 deg², divide by 10313.240984
5 ÷ 10313.240984 = 0.0004848136
5 deg² = 0.0004848136 quadrant
Square Degree to Spherical Quadrant Conversion Table
Quick reference table for common square degree to spherical quadrant conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Spherical Quadrants (quadrant) |
|---|---|
| 0.1 deg² | 9.6962729911e-6 quadrant |
| 0.5 deg² | 4.8481364955e-5 quadrant |
| 1 deg² | 9.6962729911e-5 quadrant |
| 2 deg² | 0.0001939255 quadrant |
| 5 deg² | 0.0004848136 quadrant |
| 10 deg² | 0.0009696273 quadrant |
| 25 deg² | 0.0024240682 quadrant |
| 50 deg² | 0.0048481365 quadrant |
| 100 deg² | 0.009696273 quadrant |
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.
Spherical Quadrant (quadrant)
A spherical quadrant equals π steradians (≈3.142 sr)—one-quarter of a complete sphere. Equivalent to two octants or half a hemisphere. Represents the solid angle of one "quarter" of the sky bounded by two perpendicular great circles.
Frequently Asked Questions
How do I convert square degrees to spherical quadrants?
To convert square degrees to spherical quadrants, divide the value by 10313.240984. For example, 10 deg² = 0.0009696273 quadrant.
How many spherical quadrants are in 1 square degree?
1 square degree equals 9.6962729911e-5 spherical quadrants.
What is the formula for square degrees to spherical quadrants?
The formula is: quadrant = deg² ÷ 10313.240984.