Spherical Corner Calculation
Calculator and formulas for calculating a spherical corner
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.
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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 (\(\small{V}\))
\(\displaystyle V=\frac{π·r^3}{6}\)
Round solids functions
Sphere • Spherical cap • Spherical sector • Spherical segment • Spherical ring • Spherical wedge • Spherical corner • Spheroid • Triaxial ellipsoid • Ellipsoid volume • Spherical shell • Solid angles • Torus • Spindle torus • Oloid • Elliptic Paraboloid
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