Convert Square Arcsecond to Spherical Quadrant
Type the number of square arcseconds that you wish to convert to spherical quadrants.
How to Convert Square Arcseconds to Spherical Quadrants
The square arcsecond and spherical quadrant are both units of solid angle. 1 spherical quadrant equals 133659768129 square arcseconds. This means to convert square arcseconds to spherical quadrants, you divide by 133659768129.
Formula
Step-by-Step Example
Convert 5 arcsec² to spherical quadrants:
We need to convert square arcseconds to spherical quadrants
Since 1 quadrant = 133659768129 arcsec², divide by 133659768129
5 ÷ 133659768129 = 3.7408414439e-11
5 arcsec² = 3.7408414439e-11 quadrant
Square Arcsecond to Spherical Quadrant Conversion Table
Quick reference table for common square arcsecond to spherical quadrant conversions. Click any value for detailed calculation.
| Square Arcseconds (arcsec²) | Spherical Quadrants (quadrant) |
|---|---|
| 0.1 arcsec² | 7.4816828878e-13 quadrant |
| 0.5 arcsec² | 3.7408414439e-12 quadrant |
| 1 arcsec² | 7.4816828878e-12 quadrant |
| 2 arcsec² | 1.4963365776e-11 quadrant |
| 5 arcsec² | 3.7408414439e-11 quadrant |
| 10 arcsec² | 7.4816828878e-11 quadrant |
| 25 arcsec² | 1.870420722e-10 quadrant |
| 50 arcsec² | 3.7408414439e-10 quadrant |
| 100 arcsec² | 7.4816828878e-10 quadrant |
About These Units
Square Arcsecond (arcsec²)
A square arcsecond equals (1/3600)² of a square degree or about 2.35×10⁻¹¹ steradians. One square arcminute = 3,600 square arcseconds. Measures individual star disks, exoplanet host star separation, and high-resolution imaging pixels.
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.
Frequently Asked Questions
How do I convert square arcseconds to spherical quadrants?
To convert square arcseconds to spherical quadrants, divide the value by 133659768129. For example, 10 arcsec² = 7.4816828878e-11 quadrant.
How many spherical quadrants are in 1 square arcsecond?
1 square arcsecond equals 7.4816828878e-12 spherical quadrants.
What is the formula for square arcseconds to spherical quadrants?
The formula is: quadrant = arcsec² ÷ 133659768129.