Convert Percent of Sphere to Octant
Type the number of percent of sphere that you wish to convert to octants.
How to Convert Percent of Sphere to Octants
The percent of sphere and octant are both units of solid angle. 1 octant equals 12.500000611 percent of sphere. This means to convert percent of sphere to octants, you divide by 12.500000611.
Formula
Step-by-Step Example
Convert 5 %sphere to octants:
We need to convert percent of sphere to octants
Since 1 octant = 12.500000611 %sphere, divide by 12.500000611
5 ÷ 12.500000611 = 0.3999999804
5 %sphere = 0.3999999804 octant
Percent of Sphere to Octant Conversion Table
Quick reference table for common percent of sphere to octant conversions. Click any value for detailed calculation.
| Percent of Sphere (%sphere) | Octants (octant) |
|---|---|
| 1 %sphere | 0.0799999961 octant |
| 2 %sphere | 0.1599999922 octant |
| 5 %sphere | 0.3999999804 octant |
| 10 %sphere | 0.7999999609 octant |
| 15 %sphere | 1.1999999413 octant |
| 20 %sphere | 1.5999999218 octant |
| 25 %sphere | 1.9999999022 octant |
| 50 %sphere | 3.9999998044 octant |
| 100 %sphere | 7.9999996089 octant |
About These Units
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.
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 percent of sphere to octants?
To convert percent of sphere to octants, divide the value by 12.500000611. For example, 10 %sphere = 0.7999999609 octant.
How many octants are in 1 percent of sphere?
1 percent of sphere equals 0.0799999961 octants.
What is the formula for percent of sphere to octants?
The formula is: octant = %sphere ÷ 12.500000611.