Convert Octant to Square Degree
Convert octants to square degrees by entering a value below.
How to Convert Octants to Square Degrees
The octant and square degree are both units of solid angle. 1 octant equals 5156.6204911 square degrees. This means to convert octants to square degrees, you multiply by 5156.6204911.
Formula
Step-by-Step Example
Convert 5 octant to square degrees:
We need to convert octants to square degrees
Since 1 octant = 5156.6204911 deg², multiply by 5156.6204911
5 × 5156.6204911 = 25783.102456
5 octant = 25783.102456 deg²
Octant to Square Degree Conversion Table
Quick reference table for common octant to square degree conversions. Click any value for detailed calculation.
| Octants (octant) | Square Degrees (deg²) |
|---|---|
| 0.1 octant | 515.66204911 deg² |
| 0.5 octant | 2578.3102456 deg² |
| 1 octant | 5156.6204911 deg² |
| 2 octant | 10313.240982 deg² |
| 5 octant | 25783.102456 deg² |
| 10 octant | 51566.204911 deg² |
| 25 octant | 128915.51228 deg² |
| 50 octant | 257831.02456 deg² |
| 100 octant | 515662.04911 deg² |
About These Units
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.
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 octants to square degrees?
To convert octants to square degrees, multiply the value by 5156.6204911. For example, 10 octant = 51566.204911 deg².
How many square degrees are in 1 octant?
1 octant equals 5156.6204911 square degrees.
What is the formula for octants to square degrees?
The formula is: deg² = octant × 5156.6204911.