Area of an Oval Calculator

Calculate the area of an oval (ellipse) using the 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

Area of an Oval Calculator Calculator Usage Guide

Learn how to use the Area of an Oval Calculator and understand the mathematical principles behind it.

How to Use This Calculator

  1. Enter the length of the semi-major axis (a) in your preferred unit (e.g., meters, centimeters, etc.). This is the longest radius of the oval.
  2. Enter the length of the semi-minor axis (b) in the same unit as the semi-major axis. This is the shortest radius of the oval.
  3. Click the "Calculate" button to compute the area.
  4. The calculator will display the area in the same unit squared (e.g., square meters, square centimeters).
  5. Click "Reset" to clear all inputs and start over.

Understanding Oval Geometry

An oval (or ellipse) is a geometric shape that resembles a stretched circle. It's defined by two axes:

  • Semi-Major Axis (a): The longest radius from the center to the edge.
  • Semi-Minor Axis (b): The shortest radius from the center to the edge.

Mathematical Formula

The area of an oval (ellipse) is calculated using the formula:

Area = π × a × b

Where π (pi) is approximately 3.14159, and a and b are the lengths of the semi-major and semi-minor axes respectively.

Real-World Applications

The area of an oval calculator is useful in various fields including:

  • Architecture and design for elliptical rooms or structures
  • Engineering for calculating cross-sectional areas of elliptical components
  • Physics for understanding orbits (planets follow elliptical paths)
  • Art and design for creating elliptical patterns