Convert Spat to Steradian
Convert spats to steradians by entering a value below.
How to Convert Spats to Steradians
The spat and steradian are both units of solid angle. 1 spat equals 12.566370614 steradians. This means to convert spats to steradians, you multiply by 12.566370614.
Formula
Step-by-Step Example
Convert 5 sp to steradians:
We need to convert spats to steradians
Since 1 sp = 12.566370614 sr, multiply by 12.566370614
5 × 12.566370614 = 62.83185307
5 sp = 62.83185307 sr
Spat to Steradian Conversion Table
Quick reference table for common spat to steradian conversions. Click any value for detailed calculation.
| Spats (sp) | Steradians (sr) |
|---|---|
| 1 sp | 12.566370614 sr |
| 2 sp | 25.132741228 sr |
| 5 sp | 62.83185307 sr |
| 10 sp | 125.66370614 sr |
| 15 sp | 188.49555921 sr |
| 20 sp | 251.32741228 sr |
| 25 sp | 314.15926535 sr |
| 50 sp | 628.3185307 sr |
| 100 sp | 1256.6370614 sr |
About These Units
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.
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 spats to steradians?
To convert spats to steradians, multiply the value by 12.566370614. For example, 10 sp = 125.66370614 sr.
How many steradians are in 1 spat?
1 spat equals 12.566370614 steradians.
What is the formula for spats to steradians?
The formula is: sr = sp × 12.566370614.