Convert Percent of Sphere to Square Arcsecond
Convert percent of sphere to square arcseconds by entering a value below.
How to Convert Percent of Sphere to Square Arcseconds
The percent of sphere and square arcsecond are both units of solid angle. 1 percent of sphere equals 5346390463.1 square arcseconds. This means to convert percent of sphere to square arcseconds, you multiply by 5346390463.1.
Formula
Step-by-Step Example
Convert 5 %sphere to square arcseconds:
We need to convert percent of sphere to square arcseconds
Since 1 %sphere = 5346390463.1 arcsec², multiply by 5346390463.1
5 × 5346390463.1 = 26731952315
5 %sphere = 26731952315 arcsec²
Percent of Sphere to Square Arcsecond Conversion Table
Quick reference table for common percent of sphere to square arcsecond conversions. Click any value for detailed calculation.
| Percent of Sphere (%sphere) | Square Arcseconds (arcsec²) |
|---|---|
| 0.1 %sphere | 534639046.31 arcsec² |
| 0.5 %sphere | 2673195231.5 arcsec² |
| 1 %sphere | 5346390463.1 arcsec² |
| 2 %sphere | 10692780926 arcsec² |
| 5 %sphere | 26731952315 arcsec² |
| 10 %sphere | 53463904631 arcsec² |
| 25 %sphere | 133659761577 arcsec² |
| 50 %sphere | 267319523153 arcsec² |
| 100 %sphere | 534639046306 arcsec² |
About These Units
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.
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 percent of sphere to square arcseconds?
To convert percent of sphere to square arcseconds, multiply the value by 5346390463.1. For example, 10 %sphere = 53463904631 arcsec².
How many square arcseconds are in 1 percent of sphere?
1 percent of sphere equals 5346390463.1 square arcseconds.
What is the formula for percent of sphere to square arcseconds?
The formula is: arcsec² = %sphere × 5346390463.1.