Spherical areas {cap, sphere} can go from pole down to circle where plane intersects sphere. Cap area is pi * d * h, where d is diameter, and h is cap height from center.
Sphere halves {hemisphere}| are solids.
Two great circles not in perpendicular planes make two major and two minor spherical-surface regions {lune}.
Sectors {segment, sphere} {major sector, sphere} {major segment, sphere} can be greater than hemisphere. Sectors {minor sector, sphere} {minor segment, sphere} can be less than hemisphere.
Planes of two great circles intersect at diameter {spherical wedge} and divide sphere into four parts. Spherical-wedge volume is (A / (3 * pi / 2)) * pi * r^2, where A is angle between planes, and r is radius.
Sphere and two parallel planes intersect to make a solid figure {zone, sphere region}. Sphere and plane intersection has area pi * d * h, where d is diameter, and h is height from center.
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Date Modified: 2022.0225