Convert Percent of Sphere to Spat
Convert percent of sphere to spats by entering a value below.
How to Convert Percent of Sphere to Spats
The percent of sphere and spat are both units of solid angle. 1 spat equals 100.00000489 percent of sphere. This means to convert percent of sphere to spats, you divide by 100.00000489.
Formula
Step-by-Step Example
Convert 5 %sphere to spats:
We need to convert percent of sphere to spats
Since 1 sp = 100.00000489 %sphere, divide by 100.00000489
5 ÷ 100.00000489 = 0.0499999976
5 %sphere = 0.0499999976 sp
Percent of Sphere to Spat Conversion Table
Quick reference table for common percent of sphere to spat conversions. Click any value for detailed calculation.
| Percent of Sphere (%sphere) | Spats (sp) |
|---|---|
| 0.1 %sphere | 0.001 sp |
| 0.5 %sphere | 0.0049999998 sp |
| 1 %sphere | 0.0099999995 sp |
| 2 %sphere | 0.019999999 sp |
| 5 %sphere | 0.0499999976 sp |
| 10 %sphere | 0.0999999951 sp |
| 25 %sphere | 0.2499999878 sp |
| 50 %sphere | 0.4999999756 sp |
| 100 %sphere | 0.9999999511 sp |
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.
Spat (sp)
The spat equals 4π steradians (≈12.566 sr)—the solid angle subtended by a complete sphere as seen from its center. One spat = 41,253 square degrees = 1 full sphere. Used in radiation physics and isotropic source calculations. Rarely used; steradians preferred.
Frequently Asked Questions
How do I convert percent of sphere to spats?
To convert percent of sphere to spats, divide the value by 100.00000489. For example, 10 %sphere = 0.0999999951 sp.
How many spats are in 1 percent of sphere?
1 percent of sphere equals 0.0099999995 spats.
What is the formula for percent of sphere to spats?
The formula is: sp = %sphere ÷ 100.00000489.