ClarityKitFind a tool
Geometry

Spherical Zone Surface Area Calculator

Find the curved area of a spherical band between parallel planes.

Use consistent dimensionsArea and volume units explained below
Geometry desk
Geometry desk

Match each dimension to the shape and keep units consistent.

See the method

Set the dimensions

Runs on your device

Your measurement

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter sphere radius, zone height.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Curved spherical-zone area = 2πrh.

A WORKED EXAMPLE

Using sphere radius = 5 units, zone height = 2 units, the result is 62.8318531 square units. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Height is axial distance between the bounding planes. The planes must intersect the sphere; circular end disks are excluded.

What to keep in mind

Height is axial distance between the bounding planes. The planes must intersect the sphere; circular end disks are excluded. Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Common questions

How do I use this spherical zone surface area calculator?

Find the curved area of a spherical band between parallel planes. Enter sphere radius in units, zone height in units. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Height is axial distance between the bounding planes. The planes must intersect the sphere; circular end disks are excluded.

Methodology maintained by ClarityKit. How these tools are built and checked.