Convert Spherical Quadrant to Square Degree
Type the number of spherical quadrants that you wish to convert to square degrees.
How to Convert Spherical Quadrants to Square Degrees
The spherical quadrant and square degree are both units of solid angle. 1 spherical quadrant equals 10313.240984 square degrees. This means to convert spherical quadrants to square degrees, you multiply by 10313.240984.
Formula
Step-by-Step Example
Convert 5 quadrant to square degrees:
We need to convert spherical quadrants to square degrees
Since 1 quadrant = 10313.240984 deg², multiply by 10313.240984
5 × 10313.240984 = 51566.204918
5 quadrant = 51566.204918 deg²
Spherical Quadrant to Square Degree Conversion Table
Quick reference table for common spherical quadrant to square degree conversions. Click any value for detailed calculation.
| Spherical Quadrants (quadrant) | Square Degrees (deg²) |
|---|---|
| 0.1 quadrant | 1031.3240984 deg² |
| 0.5 quadrant | 5156.6204918 deg² |
| 1 quadrant | 10313.240984 deg² |
| 2 quadrant | 20626.481967 deg² |
| 5 quadrant | 51566.204918 deg² |
| 10 quadrant | 103132.40984 deg² |
| 25 quadrant | 257831.02459 deg² |
| 50 quadrant | 515662.04918 deg² |
| 100 quadrant | 1031324.0984 deg² |
About These Units
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.
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 spherical quadrants to square degrees?
To convert spherical quadrants to square degrees, multiply the value by 10313.240984. For example, 10 quadrant = 103132.40984 deg².
How many square degrees are in 1 spherical quadrant?
1 spherical quadrant equals 10313.240984 square degrees.
What is the formula for spherical quadrants to square degrees?
The formula is: deg² = quadrant × 10313.240984.