Spherical Corner Calculation

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 Delete Entry Argument type Radius Arc length Surface Volume Argument value Decimal places 0 1 2 3 4 6 8 10  Result Radius r Arc length P Surface S Volume V

Formulas for a spherical corner

Radius (\(\small{r}\))

\(\displaystyle r=\frac{2·P}{π}\)   \(\displaystyle \ \ =\sqrt{ \frac{4·S}{5·π}}\)   \(\displaystyle \ \ =\sqrt[3]{ \frac{6·V}{π}} \)

Arc length (\(\small{P}\))

\(\displaystyle P=\frac{r·π}{2}\)

Surface \(\small{S}\))

\(\displaystyle S=\frac{5·π·r^2}{4}\)

Volume (\(\small{V}\))

\(\displaystyle V=\frac{π·r^3}{6}\)