Convert Steradian to Spat
Type the number of steradians that you wish to convert to spats.
How to Convert Steradians to Spats
The steradian and spat are both units of solid angle. 1 spat equals 12.566370614 steradians. This means to convert steradians to spats, you divide by 12.566370614.
Formula
Step-by-Step Example
Convert 5 sr to spats:
We need to convert steradians to spats
Since 1 sp = 12.566370614 sr, divide by 12.566370614
5 ÷ 12.566370614 = 0.3978873577
5 sr = 0.3978873577 sp
Steradian to Spat Conversion Table
Quick reference table for common steradian to spat conversions. Click any value for detailed calculation.
| Steradians (sr) | Spats (sp) |
|---|---|
| 1 sr | 0.0795774715 sp |
| 2 sr | 0.1591549431 sp |
| 5 sr | 0.3978873577 sp |
| 10 sr | 0.7957747155 sp |
| 15 sr | 1.1936620732 sp |
| 20 sr | 1.591549431 sp |
| 25 sr | 1.9894367887 sp |
| 50 sr | 3.9788735774 sp |
| 100 sr | 7.9577471548 sp |
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.
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 steradians to spats?
To convert steradians to spats, divide the value by 12.566370614. For example, 10 sr = 0.7957747155 sp.
How many spats are in 1 steradian?
1 steradian equals 0.0795774715 spats.
What is the formula for steradians to spats?
The formula is: sp = sr ÷ 12.566370614.