Convert Square Arcsecond to Percent of Sphere
Input the number of square arcseconds you want to convert to percent of sphere.
How to Convert Square Arcseconds to Percent of Sphere
The square arcsecond and percent of sphere are both units of solid angle. 1 percent of sphere equals 5346390463.1 square arcseconds. This means to convert square arcseconds to percent of sphere, you divide by 5346390463.1.
Formula
Step-by-Step Example
Convert 5 arcsec² to percent of sphere:
We need to convert square arcseconds to percent of sphere
Since 1 %sphere = 5346390463.1 arcsec², divide by 5346390463.1
5 ÷ 5346390463.1 = 9.3521040682e-10
5 arcsec² = 9.3521040682e-10 %sphere
Square Arcsecond to Percent of Sphere Conversion Table
Quick reference table for common square arcsecond to percent of sphere conversions. Click any value for detailed calculation.
| Square Arcseconds (arcsec²) | Percent of Sphere (%sphere) |
|---|---|
| 0.1 arcsec² | 1.8704208136e-11 %sphere |
| 0.5 arcsec² | 9.3521040682e-11 %sphere |
| 1 arcsec² | 1.8704208136e-10 %sphere |
| 2 arcsec² | 3.7408416273e-10 %sphere |
| 5 arcsec² | 9.3521040682e-10 %sphere |
| 10 arcsec² | 1.8704208136e-9 %sphere |
| 25 arcsec² | 4.6760520341e-9 %sphere |
| 50 arcsec² | 9.3521040682e-9 %sphere |
| 100 arcsec² | 1.8704208136e-8 %sphere |
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.
Percent of Sphere (%sphere)
One percent of a full sphere equals 4π/100 ≈ 0.1257 steradians or about 412.5 square degrees. Provides intuitive scale: a hemisphere is 50%, a cone with 60° half-angle covers about 13%. Used in illumination design and radiation calculations.
Frequently Asked Questions
How do I convert square arcseconds to percent of sphere?
To convert square arcseconds to percent of sphere, divide the value by 5346390463.1. For example, 10 arcsec² = 1.8704208136e-9 %sphere.
How many percent of sphere are in 1 square arcsecond?
1 square arcsecond equals 1.8704208136e-10 percent of sphere.
What is the formula for square arcseconds to percent of sphere?
The formula is: %sphere = arcsec² ÷ 5346390463.1.