The Surface Area of a Sphere Segment calculator computes the surface area of a slice of a sphere made by two parallel plane cutting through the sphere (See Diagram) including the top and bottom circles.
INSTRUCTIONS: Choose units and enter the following:
Sphere Frustum Surface Area (A): The surface area is returned in square meters. However, this can be automatically converted to compatible units via the pull-down menu.
The Total Surface Area of a Sphere Segment formula is:
`A = 2pih * sqrt(( [ (r_1-r_2)^2 + h^2] * [ (r_1+r_2)^2+ h^2])/(4*h^2)) + pi(r_1^2+r_2^2)`
This formula computes the surface area of a slice of a sphere made by two parallel plane cutting through the sphere (See Diagram) . A sphere slice could be considered a sphere frustum. The assumption is that both slices are in parallel planes. (See diagram) The surface area includes the top and bottom circles created by the two planes slicing through the sphere.
Many manufactured objects are in the shape of a a sphere segment (aka sphere slice or sphere frustum). This formula can also be used to approximate the surface area of an apple, in essence the area of the apple skin.