Convert Steradian to Millisteradian

Convert steradians to millisteradians by entering a value below.

1 sr (steradians) = 1000 msr (millisteradians)

How to Convert Steradians to Millisteradians

The steradian and millisteradian are both units of solid angle. By definition, 1 steradian equals exactly 1000 millisteradians. This means to convert steradians to millisteradians, you multiply by 1000.

Formula

millisteradians = steradians × 1000

Step-by-Step Example

Convert 5 sr to millisteradians:

1
Convert 5 sr to millisteradians

We need to convert steradians to millisteradians

2
Apply the formula

Since 1 sr = 1000 msr, multiply by 1000

5 × 1000 = 5000

Answer

5 sr = 5000 msr

Steradian to Millisteradian Conversion Table

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

Steradians (sr) Millisteradians (msr)
0.1 sr 100 msr
0.5 sr 500 msr
1 sr 1000 msr
2 sr 2000 msr
5 sr 5000 msr
10 sr 10000 msr
25 sr 25000 msr
50 sr 50000 msr
100 sr 100000 msr

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.

Millisteradian (msr)

A millisteradian (msr) equals 0.001 steradians or about 3.28 square degrees. Used in radiometry, photometry, and light source specifications. LED beam angle calculations, radiation detector acceptance angles, and luminous intensity measurements use millisteradians.

Frequently Asked Questions

How do I convert steradians to millisteradians?

To convert steradians to millisteradians, multiply the value by 1000. For example, 10 sr = 10000 msr.

How many millisteradians are in 1 steradian?

1 steradian equals 1000 millisteradians.

What is the formula for steradians to millisteradians?

The formula is: msr = sr × 1000.