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`A = 2*pi* "h" * 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)`

Enter a value for all fields

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:

- (
**r**) upper radius_{1} - (
**r**) lower radius_{2} - (
**h**) distance between the parallel planes. (See diagram)

**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)`

where:

- A = Surface Area of Sphere Frustum including top and bottom circles
- r
_{1}= top radius - r
_{2}= bottom radius - h = distance between planes

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.

- Sphere Surface Area from Radius
- Sphere Surface Area from Volume
- Sphere Volume from Radius
- Sphere Volume from Circumference
- Sphere Volume from Surface Area
- Sphere Volume from Mass and Density
- Sphere Radius from Volume
- Sphere Radius from Surface Area
- Sphere Weight (Mass) from volume and density
- Sphere Density
- Area of Triangle on a Sphere
- Distance between Two Points on a Sphere
- Sphere Cap Surface Area
- Sphere Cap Volume
- Sphere Cap Weight (Mass)
- Sphere Segment Volume
- Sphere Segment Weight (Mass)
- Sphere Segment Wall Surface Area (without the circular top and bottom ends)
- Sphere Segment Full Surface Area (with the top and bottom circles, aka ends)
- Volume of Spherical Shell
- Mass of Spherical Shell