Convert Spherical Quadrant to Square Arcminute
Type the number of spherical quadrants that you wish to convert to square arcminutes.
How to Convert Spherical Quadrants to Square Arcminutes
The spherical quadrant and square arcminute are both units of solid angle. 1 spherical quadrant equals 37127687.042 square arcminutes. This means to convert spherical quadrants to square arcminutes, you multiply by 37127687.042.
Formula
Step-by-Step Example
Convert 5 quadrant to square arcminutes:
We need to convert spherical quadrants to square arcminutes
Since 1 quadrant = 37127687.042 arcmin², multiply by 37127687.042
5 × 37127687.042 = 185638435.21
5 quadrant = 185638435.21 arcmin²
Spherical Quadrant to Square Arcminute Conversion Table
Quick reference table for common spherical quadrant to square arcminute conversions. Click any value for detailed calculation.
| Spherical Quadrants (quadrant) | Square Arcminutes (arcmin²) |
|---|---|
| 0.1 quadrant | 3712768.7042 arcmin² |
| 0.5 quadrant | 18563843.521 arcmin² |
| 1 quadrant | 37127687.042 arcmin² |
| 2 quadrant | 74255374.085 arcmin² |
| 5 quadrant | 185638435.21 arcmin² |
| 10 quadrant | 371276870.42 arcmin² |
| 25 quadrant | 928192176.06 arcmin² |
| 50 quadrant | 1856384352.1 arcmin² |
| 100 quadrant | 3712768704.2 arcmin² |
About These Units
Spherical Quadrant (quadrant)
A spherical quadrant equals π steradians (≈3.142 sr)—one-quarter of a complete sphere. Equivalent to two octants or half a hemisphere. Represents the solid angle of one "quarter" of the sky bounded by two perpendicular great circles.
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 spherical quadrants to square arcminutes?
To convert spherical quadrants to square arcminutes, multiply the value by 37127687.042. For example, 10 quadrant = 371276870.42 arcmin².
How many square arcminutes are in 1 spherical quadrant?
1 spherical quadrant equals 37127687.042 square arcminutes.
What is the formula for spherical quadrants to square arcminutes?
The formula is: arcmin² = quadrant × 37127687.042.