Ellipse area calculator

Calculate the area of an ellipse using its semi-major and semi-minor axes

Input Parameters

Calculation Results

Calculation Formula

Area = π × a × b

Where:
π (pi) ≈ 3.14159
a = semi-major axis
b = semi-minor axis

Ellipse area calculator Calculator Usage Guide

Learn how to use the Ellipse area calculator and understand its working principles

How to use the calculator

  1. Enter the length of the semi-major axis (a) in your preferred unit (e.g., meters, centimeters)
  2. Enter the length of the semi-minor axis (b) in the same unit as the semi-major axis
  3. Click the "Calculate" button to compute the area
  4. The result will be displayed in square units (e.g., square meters, square centimeters)

Understanding the formula

The area of an ellipse is calculated using the formula: Area = π × a × b, where:

  • π (pi) is a mathematical constant approximately equal to 3.14159
  • a is the semi-major axis (the longest radius of the ellipse)
  • b is the semi-minor axis (the shortest radius of the ellipse)

Practical applications

An ellipse area calculator can be used in various fields including:

  • Engineering and architecture for designing elliptical structures
  • Physics for calculating areas of elliptical orbits
  • Art and design for creating elliptical shapes
  • Geography for mapping ellipsoidal Earth models