Convert Spherical Quadrant to Square Arcsecond

Enter the number of spherical quadrants that you want to convert to square arcseconds.

1 quadrant (spherical quadrants) = 133659768129 arcsec² (square arcseconds)

How to Convert Spherical Quadrants to Square Arcseconds

The spherical quadrant and square arcsecond are both units of solid angle. 1 spherical quadrant equals 133659768129 square arcseconds. This means to convert spherical quadrants to square arcseconds, you multiply by 133659768129.

Formula

square arcseconds = spherical quadrants × 133659768129

Step-by-Step Example

Convert 5 quadrant to square arcseconds:

1
Convert 5 quadrant to square arcseconds

We need to convert spherical quadrants to square arcseconds

2
Apply the formula

Since 1 quadrant = 133659768129 arcsec², multiply by 133659768129

5 × 133659768129 = 668298840643

Answer

5 quadrant = 668298840643 arcsec²

Spherical Quadrant to Square Arcsecond Conversion Table

Quick reference table for common spherical quadrant to square arcsecond conversions. Click any value for detailed calculation.

Spherical Quadrants (quadrant) Square Arcseconds (arcsec²)
0.1 quadrant 13365976813 arcsec²
0.5 quadrant 66829884064 arcsec²
1 quadrant 133659768129 arcsec²
2 quadrant 267319536257 arcsec²
5 quadrant 668298840643 arcsec²
10 quadrant 1.3365976813e12 arcsec²
25 quadrant 3.3414942032e12 arcsec²
50 quadrant 6.6829884064e12 arcsec²
100 quadrant 1.3365976813e13 arcsec²

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 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.

Frequently Asked Questions

How do I convert spherical quadrants to square arcseconds?

To convert spherical quadrants to square arcseconds, multiply the value by 133659768129. For example, 10 quadrant = 1.3365976813e12 arcsec².

How many square arcseconds are in 1 spherical quadrant?

1 spherical quadrant equals 133659768129 square arcseconds.

What is the formula for spherical quadrants to square arcseconds?

The formula is: arcsec² = quadrant × 133659768129.