Ellipse Area Calculator

The Ellipse Area Calculator provides precise results by using the semi-major and semi-minor axes. Ideal for students, architects, and engineers needing accurate area calculations for elliptical shapes in academic, technical, or creative projects.

Updated at: 05/16/2025

Semi-major Axis

Semi-minor Axis

How to use the ellipse area calculator

The ellipse area calculator is an essential tool for students, teachers, architects, and engineers who need to calculate the area of elliptical surfaces. This calculator uses a simple geometry formula to calculate the area based on the semi-major and semi-minor axes.

Determine the semi-major axis of the ellipse (half of the major axis)
Determine the semi-minor axis of the ellipse (half of the minor axis)
Enter the obtained values in the corresponding fields, using meters as the unit of measurement
Click the 'Calculate' button to get the result in square meters
Use the share or print buttons to save or send the result

Ellipse area calculation formula

The calculation of an ellipse's area is performed using a formula that relates the semi-major and semi-minor axes with the number π (pi).

Area = π × a × b

This formula considers that:

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

Practical calculation examples

For better understanding, let's analyze some practical examples of area calculation:

Ellipse with semi-major axis of 5m and semi-minor axis of 3m. Area = π × 5 × 3 = 47.12m²
Ellipse with semi-major axis of 8m and semi-minor axis of 4m. Area = π × 8 × 4 = 100.53m²
Ellipse with semi-major axis of 6m and semi-minor axis of 6m (circle). Area = π × 6 × 6 = 113.10m²

Frequently Asked Questions (FAQ)

What is an ellipse?

An ellipse is a closed curve on a plane, similar to a flattened circle. It is formed by two foci, such that the sum of the distances from any point on the ellipse to the foci is constant.

How to identify the semi-major and semi-minor axes?

The semi-major axis is half the longest distance between two opposite points on the ellipse, while the semi-minor axis is half the shortest distance. The semi-major axis is always greater than or equal to the semi-minor axis.

When should I use this calculator?

This calculator is ideal for any situation where you need to calculate the area of an elliptical surface, such as an oval garden, an elliptical table, or any other structure with an elliptical shape.

What happens if the semi-axes are equal?

When the semi-major and semi-minor axes are equal, the ellipse becomes a circle. In this case, the ellipse area formula reduces to the circle area formula (π × r²).

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