Basic Spherical Properties Calculator Enter any ONE of the four spherical properties (R, C, A or V) and this program will compute the other three unknown properties.The linear units can be interpreted as anything, such as meters, inches, miles, feet, etc., whatever you decide the units represent. R = Radius unit(s) C = Circumference unit(s) A = Area of Surface square unit(s) V = Volume cubic unit(s)

Enter only ONE known property and leave all the others blank.
Those unknown properties will be computed and displayed here.



The Basic Spherical Elements

$R$ = Radius of Sphere
$C$ = Circumference or perimeter
$A$ = Area of Surface
$V$ = Volume
$\large\pi$ = 3.14159265358979323846264338327950...  ad nauseam.

The Relevant Spherical Equations

Given the radius $R$:
\begin{align*} C ~=~ 2\pi R ~~~~~~~~~~~~~~~~~~~~~~~~ A ~=~ 4\pi R^2 ~~~~~~~~~~~~~~~~~~~~~~~~ V ~=~ \frac{4\pi R^3}{3} \end{align*}

To obtain the radius $R$ from the $C$, $A$ or $V$ values:

\begin{align*} R ~=~ \frac{C}{2\pi} ~~~~~~~~~~~~~~~~~~~~~~~~ R ~=~ \sqrt{\frac{A}{4\pi}} ~~~~~~~~~~~~~~~~~~~~~~~~ R ~=~ \sqrt[\large3]{\frac{3V}{4\pi}} \end{align*}

Jay Tanner - v2.0 - 2023