Convert Spherical Quadrant to Hemisphere
Input the number of spherical quadrants you want to convert to hemispheres.
How to Convert Spherical Quadrants to Hemispheres
The spherical quadrant and hemisphere are both units of solid angle. 1 hemisphere equals 1.9999999997 spherical quadrants. This means to convert spherical quadrants to hemispheres, you divide by 1.9999999997.
Formula
Step-by-Step Example
Convert 5 quadrant to hemispheres:
We need to convert spherical quadrants to hemispheres
Since 1 hemisphere = 1.9999999997 quadrant, divide by 1.9999999997
5 ÷ 1.9999999997 = 2.5000000004
5 quadrant = 2.5000000004 hemisphere
Spherical Quadrant to Hemisphere Conversion Table
Quick reference table for common spherical quadrant to hemisphere conversions. Click any value for detailed calculation.
| Spherical Quadrants (quadrant) | Hemispheres (hemisphere) |
|---|---|
| 1 quadrant | 0.5000000001 hemisphere |
| 2 quadrant | 1.0000000002 hemisphere |
| 5 quadrant | 2.5000000004 hemisphere |
| 10 quadrant | 5.0000000008 hemisphere |
| 15 quadrant | 7.5000000012 hemisphere |
| 20 quadrant | 10.000000002 hemisphere |
| 25 quadrant | 12.500000002 hemisphere |
| 50 quadrant | 25.000000004 hemisphere |
| 100 quadrant | 50.000000008 hemisphere |
About These Units
Spherical Quadrant (quadrant)
A spherical quadrant equals π steradians (≈3.142 sr)—one-quarter of a complete sphere. Equivalent to two octants or half a hemisphere. Represents the solid angle of one "quarter" of the sky bounded by two perpendicular great circles.
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 spherical quadrants to hemispheres?
To convert spherical quadrants to hemispheres, divide the value by 1.9999999997. For example, 10 quadrant = 5.0000000008 hemisphere.
How many hemispheres are in 1 spherical quadrant?
1 spherical quadrant equals 0.5000000001 hemispheres.
What is the formula for spherical quadrants to hemispheres?
The formula is: hemisphere = quadrant ÷ 1.9999999997.