Convert Square Degree to Octant
Enter the number of square degrees that you want to convert to octants.
How to Convert Square Degrees to Octants
The square degree and octant are both units of solid angle. 1 octant equals 5156.6204911 square degrees. This means to convert square degrees to octants, you divide by 5156.6204911.
Formula
Step-by-Step Example
Convert 5 deg² to octants:
We need to convert square degrees to octants
Since 1 octant = 5156.6204911 deg², divide by 5156.6204911
5 ÷ 5156.6204911 = 0.0009696273
5 deg² = 0.0009696273 octant
Square Degree to Octant Conversion Table
Quick reference table for common square degree to octant conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Octants (octant) |
|---|---|
| 0.1 deg² | 1.9392545985e-5 octant |
| 0.5 deg² | 9.6962729923e-5 octant |
| 1 deg² | 0.0001939255 octant |
| 2 deg² | 0.0003878509 octant |
| 5 deg² | 0.0009696273 octant |
| 10 deg² | 0.0019392546 octant |
| 25 deg² | 0.0048481365 octant |
| 50 deg² | 0.009696273 octant |
| 100 deg² | 0.019392546 octant |
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.
Octant (octant)
An octant equals π/2 steradians (≈1.571 sr)—one-eighth of a complete sphere. Represents one corner of a cube viewed from the center. Each octant is bounded by three mutually perpendicular great circles. Used in 3D spatial partitioning.
Frequently Asked Questions
How do I convert square degrees to octants?
To convert square degrees to octants, divide the value by 5156.6204911. For example, 10 deg² = 0.0019392546 octant.
How many octants are in 1 square degree?
1 square degree equals 0.0001939255 octants.
What is the formula for square degrees to octants?
The formula is: octant = deg² ÷ 5156.6204911.