Dome Surface Area Calculator

This calculator can be used to calculate the surface area of a dome based on the radius of its base.

Input Parameters

Calculation Results

Calculation Formula

Surface Area = 2πr²(1 + (h²+r²)^(1/2)/2r)

Where:
r = radius of the dome
h = height of the dome (if not provided, assumed as radius/2 for semi-spherical dome)

Result

Surface Area: 0 square units

Dome Surface Area Calculator Usage Guide

Learn how to use the Dome Surface Area Calculator and its working principles

How to Use the Calculator

  1. Enter the radius (r) of the dome's base in the input field.
  2. The calculator assumes a semi-spherical dome by default, using the height equal to half the radius.
  3. Click the "Calculate" button to compute the surface area.
  4. The result will be displayed in square units.

Working Principle

The surface area of a dome is calculated using the formula:

Surface Area = 2πr²(1 + (h²+r²)^(1/2)/2r)

Where:

  • r = radius of the dome's base
  • h = height of the dome (calculated as radius/2 for a semi-spherical dome)

Applications

This calculator is useful for:

  • Architects designing domed structures
  • Engineers calculating materials needed for domes
  • Students learning about geometry and surface area calculations