Convert Steradian to Hemisphere
Input the number of steradians you want to convert to hemispheres.
How to Convert Steradians to Hemispheres
The steradian and hemisphere are both units of solid angle. 1 hemisphere equals 6.283185307 steradians. This means to convert steradians to hemispheres, you divide by 6.283185307.
Formula
Step-by-Step Example
Convert 5 sr to hemispheres:
We need to convert steradians to hemispheres
Since 1 hemisphere = 6.283185307 sr, divide by 6.283185307
5 ÷ 6.283185307 = 0.7957747155
5 sr = 0.7957747155 hemisphere
Steradian to Hemisphere Conversion Table
Quick reference table for common steradian to hemisphere conversions. Click any value for detailed calculation.
| Steradians (sr) | Hemispheres (hemisphere) |
|---|---|
| 1 sr | 0.1591549431 hemisphere |
| 2 sr | 0.3183098862 hemisphere |
| 5 sr | 0.7957747155 hemisphere |
| 10 sr | 1.591549431 hemisphere |
| 15 sr | 2.3873241464 hemisphere |
| 20 sr | 3.1830988619 hemisphere |
| 25 sr | 3.9788735774 hemisphere |
| 50 sr | 7.9577471548 hemisphere |
| 100 sr | 15.91549431 hemisphere |
About These Units
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.
Hemisphere (hemisphere)
A hemisphere equals 2π steradians (≈6.283 sr)—half of a complete sphere. Represents the visible sky from any point on Earth, or one side of a surface. Used in lighting calculations: a horizontal surface receives radiation from a hemisphere of solid angle.
Frequently Asked Questions
How do I convert steradians to hemispheres?
To convert steradians to hemispheres, divide the value by 6.283185307. For example, 10 sr = 1.591549431 hemisphere.
How many hemispheres are in 1 steradian?
1 steradian equals 0.1591549431 hemispheres.
What is the formula for steradians to hemispheres?
The formula is: hemisphere = sr ÷ 6.283185307.