Convert Microsteradian to Steradian

Convert microsteradians to steradians by entering a value below.

1 μsr (microsteradians) = 1e-6 sr (steradians)

How to Convert Microsteradians to Steradians

The microsteradian and steradian are both units of solid angle. By definition, 1 steradian equals exactly 1000000 microsteradians. This means to convert microsteradians to steradians, you divide by 1000000.

Formula

steradians = microsteradians ÷ 1000000

Step-by-Step Example

Convert 5 μsr to steradians:

1
Convert 5 μsr to steradians

We need to convert microsteradians to steradians

2
Apply the formula

Since 1 sr = 1000000 μsr, divide by 1000000

5 ÷ 1000000 = 5e-6

Answer

5 μsr = 5e-6 sr

Microsteradian to Steradian Conversion Table

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

Microsteradians (μsr) Steradians (sr)
0.1 μsr 1e-7 sr
0.5 μsr 5e-7 sr
1 μsr 1e-6 sr
2 μsr 2e-6 sr
5 μsr 5e-6 sr
10 μsr 1e-5 sr
25 μsr 2.5e-5 sr
50 μsr 5e-5 sr
100 μsr 1e-4 sr

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.

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 microsteradians to steradians?

To convert microsteradians to steradians, divide the value by 1000000. For example, 10 μsr = 1e-5 sr.

How many steradians are in 1 microsteradian?

1 microsteradian equals 1e-6 steradians.

What is the formula for microsteradians to steradians?

The formula is: sr = μsr ÷ 1000000.