Convert Octant to Percent of Sphere
Input the number of octants you want to convert to percent of sphere.
How to Convert Octants to Percent of Sphere
The octant and percent of sphere are both units of solid angle. 1 octant equals 12.500000611 percent of sphere. This means to convert octants to percent of sphere, you multiply by 12.500000611.
Formula
Step-by-Step Example
Convert 5 octant to percent of sphere:
We need to convert octants to percent of sphere
Since 1 octant = 12.500000611 %sphere, multiply by 12.500000611
5 × 12.500000611 = 62.500003056
5 octant = 62.500003056 %sphere
Octant to Percent of Sphere Conversion Table
Quick reference table for common octant to percent of sphere conversions. Click any value for detailed calculation.
| Octants (octant) | Percent of Sphere (%sphere) |
|---|---|
| 1 octant | 12.500000611 %sphere |
| 2 octant | 25.000001222 %sphere |
| 5 octant | 62.500003056 %sphere |
| 10 octant | 125.00000611 %sphere |
| 15 octant | 187.50000917 %sphere |
| 20 octant | 250.00001222 %sphere |
| 25 octant | 312.50001528 %sphere |
| 50 octant | 625.00003056 %sphere |
| 100 octant | 1250.0000611 %sphere |
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.
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.
Frequently Asked Questions
How do I convert octants to percent of sphere?
To convert octants to percent of sphere, multiply the value by 12.500000611. For example, 10 octant = 125.00000611 %sphere.
How many percent of sphere are in 1 octant?
1 octant equals 12.500000611 percent of sphere.
What is the formula for octants to percent of sphere?
The formula is: %sphere = octant × 12.500000611.