Convert Square Degree to Square Arcminute
Type the number of square degrees that you wish to convert to square arcminutes.
How to Convert Square Degrees to Square Arcminutes
The square degree and square arcminute are both units of solid angle. 1 square degree equals 3600.0018909 square arcminutes. This means to convert square degrees to square arcminutes, you multiply by 3600.0018909.
Formula
Step-by-Step Example
Convert 5 deg² to square arcminutes:
We need to convert square degrees to square arcminutes
Since 1 deg² = 3600.0018909 arcmin², multiply by 3600.0018909
5 × 3600.0018909 = 18000.009454
5 deg² = 18000.009454 arcmin²
Square Degree to Square Arcminute Conversion Table
Quick reference table for common square degree to square arcminute conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Square Arcminutes (arcmin²) |
|---|---|
| 0.1 deg² | 360.00018909 arcmin² |
| 0.5 deg² | 1800.0009454 arcmin² |
| 1 deg² | 3600.0018909 arcmin² |
| 2 deg² | 7200.0037818 arcmin² |
| 5 deg² | 18000.009454 arcmin² |
| 10 deg² | 36000.018909 arcmin² |
| 25 deg² | 90000.047272 arcmin² |
| 50 deg² | 180000.09454 arcmin² |
| 100 deg² | 360000.18909 arcmin² |
About These Units
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.
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.
Frequently Asked Questions
How do I convert square degrees to square arcminutes?
To convert square degrees to square arcminutes, multiply the value by 3600.0018909. For example, 10 deg² = 36000.018909 arcmin².
How many square arcminutes are in 1 square degree?
1 square degree equals 3600.0018909 square arcminutes.
What is the formula for square degrees to square arcminutes?
The formula is: arcmin² = deg² × 3600.0018909.