Convert msr to Square Degree

Enter the number of millisteradians that you want to convert to square degrees.

1 msr (millisteradians) = 3.2828065632 deg² (square degrees)

How to Convert Millisteradians to Square Degrees

The millisteradian and square degree are both units of solid angle. 1 millisteradian equals 3.2828065632 square degrees. This means to convert millisteradians to square degrees, you multiply by 3.2828065632.

Formula

square degrees = millisteradians × 3.2828065632

Step-by-Step Example

Convert 5 msr to square degrees:

1
Convert 5 msr to square degrees

We need to convert millisteradians to square degrees

2
Apply the formula

Since 1 msr = 3.2828065632 deg², multiply by 3.2828065632

5 × 3.2828065632 = 16.414032816

Answer

5 msr = 16.414032816 deg²

Millisteradian to Square Degree Conversion Table

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

Millisteradians (msr) Square Degrees (deg²)
1 msr 3.2828065632 deg²
2 msr 6.5656131265 deg²
5 msr 16.414032816 deg²
10 msr 32.828065632 deg²
15 msr 49.242098449 deg²
20 msr 65.656131265 deg²
25 msr 82.070164081 deg²
50 msr 164.14032816 deg²
100 msr 328.28065632 deg²

About These Units

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.

Square Degree (deg²)

A square degree (deg² or sq.deg.) equals (π/180)² ≈ 0.000305 steradians. A complete sphere covers 41,253 square degrees. The full Moon is about 0.2 deg². Common in astronomy: survey areas, galaxy cluster sizes, and cosmic microwave background maps.

Frequently Asked Questions

How do I convert millisteradians to square degrees?

To convert millisteradians to square degrees, multiply the value by 3.2828065632. For example, 10 msr = 32.828065632 deg².

How many square degrees are in 1 millisteradian?

1 millisteradian equals 3.2828065632 square degrees.

What is the formula for millisteradians to square degrees?

The formula is: deg² = msr × 3.2828065632.