Spherical Corner Calculation

Calculator and formulas for calculating a spherical corner

Spherical corner calculator


The sphere corner calculated here is a rectangular section of a hemisphere. To calculate a corner of a sphere, select the argument's property from the menu and enter its value. You can choose from radius, circumference, surface or volume.
Then click on the 'Calculate' button.


Spherical corner calculator

 Input
Argument type
Argument value
Decimal places
 Result
Radius r
Arc length P
Surface S
Volume V
corner of a sphere

Formulas for calculating a corner of a sphere


Radius \(\displaystyle r=\frac{2·P}{π}\)   \(\displaystyle =\sqrt{ \frac{4·S}{5·π}}\)   \(\displaystyle =\sqrt[3]{ \frac{6·V}{π}} \)
Arc length \(\displaystyle P=\frac{r·π}{2}\)
Total surface \(\displaystyle S=\frac{5·π·r^2}{4}\)
Volume \(\displaystyle V=\frac{π·r^3}{6}\)

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