Convert Square Arcminute to Square Degree

Convert square arcminutes to square degrees by entering a value below.

1 arcmin² (square arcminutes) = 0.0002777776 deg² (square degrees)

How to Convert Square Arcminutes to Square Degrees

The square arcminute and square degree are both units of solid angle. 1 square degree equals 3600.0018909 square arcminutes. This means to convert square arcminutes to square degrees, you divide by 3600.0018909.

Formula

square degrees = square arcminutes ÷ 3600.0018909

Step-by-Step Example

Convert 5 arcmin² to square degrees:

1
Convert 5 arcmin² to square degrees

We need to convert square arcminutes to square degrees

2
Apply the formula

Since 1 deg² = 3600.0018909 arcmin², divide by 3600.0018909

5 ÷ 3600.0018909 = 0.0013888882

Answer

5 arcmin² = 0.0013888882 deg²

Square Arcminute to Square Degree Conversion Table

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

Square Arcminutes (arcmin²) Square Degrees (deg²)
0.1 arcmin² 2.7777763188e-5 deg²
0.5 arcmin² 0.0001388888 deg²
1 arcmin² 0.0002777776 deg²
2 arcmin² 0.0005555553 deg²
5 arcmin² 0.0013888882 deg²
10 arcmin² 0.0027777763 deg²
25 arcmin² 0.0069444408 deg²
50 arcmin² 0.0138888816 deg²
100 arcmin² 0.0277777632 deg²

About These Units

Square Arcminute (arcmin²)

A square arcminute equals (1/60)² of a square degree or about 8.46×10⁻⁸ steradians. One square degree = 3,600 square arcminutes. Used for small astronomical fields: nebula sizes, galaxy images, and detector pixel scales. Full Moon ≈ 720 arcmin².

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 square arcminutes to square degrees?

To convert square arcminutes to square degrees, divide the value by 3600.0018909. For example, 10 arcmin² = 0.0027777763 deg².

How many square degrees are in 1 square arcminute?

1 square arcminute equals 0.0002777776 square degrees.

What is the formula for square arcminutes to square degrees?

The formula is: deg² = arcmin² ÷ 3600.0018909.