Convert Octant to Steradian
Type the number of octants that you wish to convert to steradians.
How to Convert Octants to Steradians
The octant and steradian are both units of solid angle. 1 octant equals 1.5707963268 steradians. This means to convert octants to steradians, you multiply by 1.5707963268.
Formula
Step-by-Step Example
Convert 5 octant to steradians:
We need to convert octants to steradians
Since 1 octant = 1.5707963268 sr, multiply by 1.5707963268
5 × 1.5707963268 = 7.853981634
5 octant = 7.853981634 sr
Octant to Steradian Conversion Table
Quick reference table for common octant to steradian conversions. Click any value for detailed calculation.
| Octants (octant) | Steradians (sr) |
|---|---|
| 1 octant | 1.5707963268 sr |
| 2 octant | 3.1415926536 sr |
| 5 octant | 7.853981634 sr |
| 10 octant | 15.707963268 sr |
| 15 octant | 23.561944902 sr |
| 20 octant | 31.415926536 sr |
| 25 octant | 39.26990817 sr |
| 50 octant | 78.53981634 sr |
| 100 octant | 157.07963268 sr |
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.
Steradian (sr)
The steradian (sr) is the SI unit of solid angle—the 3D analog of the radian. One steradian is the solid angle subtended by a spherical cap with area r² on a sphere of radius r. A complete sphere subtends 4π ≈ 12.566 steradians. Used in radiometry, photometry, and antenna theory.
Frequently Asked Questions
How do I convert octants to steradians?
To convert octants to steradians, multiply the value by 1.5707963268. For example, 10 octant = 15.707963268 sr.
How many steradians are in 1 octant?
1 octant equals 1.5707963268 steradians.
What is the formula for octants to steradians?
The formula is: sr = octant × 1.5707963268.