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Calculate The Surface Area of A Spherical Cap

Last updated: Saturday, April 29, 2023
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Select a spherical shape below
Spherical Cap
Spherical Wedge
Spherical Zone

A spherical cap is a geometric shape that is created by cutting a portion of a sphere with a plane that intersects it. It is characterized by its curved surface and its circular base, which is formed by the intersection of the plane and the sphere. Spherical caps are commonly used in engineering and architecture, particularly in the design of domes, arches, and other curved structures.

A common real-life example of a spherical cap is the shape of a lampshade or the top of a mushroom. Another example is the shape of the earth's atmosphere, which can be modeled as a spherical cap on top of the planet. Spherical caps can also be seen in the design of certain types of sports balls, such as baseballs and golf balls.

Easily calculate the surface area of a spherical cap with step-by-step guidance using our free online calculator below.

The formula for determining the surface area of a spherical cap is defined as:
\(SA\) \(=\) \(2\) \(\cdot\) \(\pi\) \(\cdot\) \(r\) \(\cdot\) \(h\) \(+\) \(\pi\) \(\cdot\) \(r_2^2\)
\(SA\): the surface area of the spherical cap
\(r\): the radius of the sphere
\(h\): the height of the cap
The SI unit of volume is: \(square \text{ } meter\text{ }(m^2)\)

Find \(SA\)

Use this calculator to determine the surface area of a spherical cap when the radius and the contact angle are given.
Hold & Drag
the radius of the sphere
the height of the cap
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