Reckoning / Shape / Spherical wedge
Solid · Spheres
Spherical wedge
The slice of a ball between two half-planes through its axis, like a segment of an orange.
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Dimensions
Results
volume V
curved surface (lune) L
Formulas
The fraction θ/360° of the whole ball.
Checked: the V, L formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.
Topology lens
Topologically a ball: its surface can be stretched onto a sphere without tearing, so its Euler characteristic is 2. More on the lens.