Convert Hemisphere to Spherical Quadrant
Type the number of hemispheres that you wish to convert to spherical quadrants.
How to Convert Hemispheres to Spherical Quadrants
The hemisphere and spherical quadrant are both units of solid angle. 1 hemisphere equals 1.9999999997 spherical quadrants. This means to convert hemispheres to spherical quadrants, you multiply by 1.9999999997.
Formula
Step-by-Step Example
Convert 5 hemisphere to spherical quadrants:
We need to convert hemispheres to spherical quadrants
Since 1 hemisphere = 1.9999999997 quadrant, multiply by 1.9999999997
5 × 1.9999999997 = 9.9999999984
5 hemisphere = 9.9999999984 quadrant
Hemisphere to Spherical Quadrant Conversion Table
Quick reference table for common hemisphere to spherical quadrant conversions. Click any value for detailed calculation.
| Hemispheres (hemisphere) | Spherical Quadrants (quadrant) |
|---|---|
| 1 hemisphere | 1.9999999997 quadrant |
| 2 hemisphere | 3.9999999994 quadrant |
| 5 hemisphere | 9.9999999984 quadrant |
| 10 hemisphere | 19.999999997 quadrant |
| 15 hemisphere | 29.999999995 quadrant |
| 20 hemisphere | 39.999999994 quadrant |
| 25 hemisphere | 49.999999992 quadrant |
| 50 hemisphere | 99.999999984 quadrant |
| 100 hemisphere | 199.99999997 quadrant |
About These Units
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.
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.
Frequently Asked Questions
How do I convert hemispheres to spherical quadrants?
To convert hemispheres to spherical quadrants, multiply the value by 1.9999999997. For example, 10 hemisphere = 19.999999997 quadrant.
How many spherical quadrants are in 1 hemisphere?
1 hemisphere equals 1.9999999997 spherical quadrants.
What is the formula for hemispheres to spherical quadrants?
The formula is: quadrant = hemisphere × 1.9999999997.