Convert Microsteradian to Spat

Convert microsteradians to spats by entering a value below.

1 μsr (microsteradians) = 7.9577471548e-8 sp (spats)

How to Convert Microsteradians to Spats

The microsteradian and spat are both units of solid angle. 1 spat equals 12566370.614 microsteradians. This means to convert microsteradians to spats, you divide by 12566370.614.

Formula

spats = microsteradians ÷ 12566370.614

Step-by-Step Example

Convert 5 μsr to spats:

1
Convert 5 μsr to spats

We need to convert microsteradians to spats

2
Apply the formula

Since 1 sp = 12566370.614 μsr, divide by 12566370.614

5 ÷ 12566370.614 = 3.9788735774e-7

Answer

5 μsr = 3.9788735774e-7 sp

Microsteradian to Spat Conversion Table

Quick reference table for common microsteradian to spat conversions. Click any value for detailed calculation.

Microsteradians (μsr) Spats (sp)
0.1 μsr 7.9577471548e-9 sp
0.5 μsr 3.9788735774e-8 sp
1 μsr 7.9577471548e-8 sp
2 μsr 1.591549431e-7 sp
5 μsr 3.9788735774e-7 sp
10 μsr 7.9577471548e-7 sp
25 μsr 1.9894367887e-6 sp
50 μsr 3.9788735774e-6 sp
100 μsr 7.9577471548e-6 sp

About These Units

Microsteradian (μsr)

A microsteradian (μsr) equals 10⁻⁶ steradians or about 11.8 square arcminutes. Used in astronomy for field of view specifications, laser beam divergence measurements, and telescope aperture calculations. A typical star appears as ~1 μsr from Earth.

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 microsteradians to spats?

To convert microsteradians to spats, divide the value by 12566370.614. For example, 10 μsr = 7.9577471548e-7 sp.

How many spats are in 1 microsteradian?

1 microsteradian equals 7.9577471548e-8 spats.

What is the formula for microsteradians to spats?

The formula is: sp = μsr ÷ 12566370.614.