Spherical Cap Surface Area
Spherical Cap Surface Area
\[A=2\pi rh\]
Variables
A = spherical cap surface area
r = sphere radius
h = cap height
Description
What is this formula?
This formula calculates the curved surface area of a spherical cap. A spherical cap is the portion of a sphere cut by a plane.
When to use it
Use this formula when calculating the exposed curved area of domes, spherical sections, lenses, or partially cut spheres.
Example
If the sphere radius is 6 m and the cap height is 2 m:
A = 2π(6)(2)
A ≈ 75.40 m²
Applications
- Geometry and mathematics
- Dome surface calculations
- Architectural design
- Mechanical engineering
- Surface coating estimation
- Optical lens manufacturing
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