Ellipse Area Calculator

Calculate ellipse area using semi-major and semi-minor axes.

Calculate Ellipse Area
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m
Result

Enter semi-major and semi-minor axes to calculate area

Ellipse Area Formula Explained

The area of an ellipse is calculated by multiplying π (pi) by the semi-major axis and semi-minor axis:

Area = π × a × b
Key Concepts:
  • 1

    Semi-Major Axis (a): The longest radius of the ellipse

  • 2

    Semi-Minor Axis (b): The shortest radius of the ellipse

  • 3

    π (pi): A mathematical constant approximately equal to 3.14159

Example:

An ellipse with a semi-major axis of 5 meters and a semi-minor axis of 3 meters has an area of approximately 47.12 square meters: π × 5 × 3 ≈ 47.12.

Applications of Ellipse Area Calculation
Professional Applications
  • A

    Astronomy: Calculating orbital paths and planetary motion

  • B

    Engineering: Designing elliptical components and structures

  • C

    Architecture: Creating elliptical spaces and designs

Everyday Applications
  • 1

    Sports: Calculating areas of elliptical tracks and fields

  • 2

    Gardening: Planning elliptical garden beds and landscapes

  • 3

    Art & Design: Creating elliptical patterns and shapes

Did You Know?

The ellipse area formula is a generalization of the circle area formula, as a circle is a special case of an ellipse where both axes are equal.

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