# Area of an Ellipse(KS3, Year 7)

homesitemapgeometryfinding the area of an ellipse
The area of an ellipse is found using the formula:

In this formula, a is the semi-minor axis and b is the semi-major axis. The image below shows what we mean by the semi-minor and semi-major axis:

## How to Find the Area of an Ellipse

Finding the area of an ellipse is easy.

## Question

What is the area of an ellipse with a semi-minor axis of 3 cm and a semi-major axis of 5 cm, as shown below?

## 1

Area = πab
Don't forget: π is pi (≈ 3.14) and πab = π × a × b

## 2

Substitute the semi-minor and semi-major axis into the formula. In our example, a = 3 and b = 5.
Area = π × 3 × 5 = 47.1 cm2

The area of the ellipse with a semi-minor axis of 3 cm and a semi-major axis of 5 cm is 47.1 cm2.

## "Find the Area" Widget

Here is a widget to help you learn the formulas to find the areas of different shapes.
• Click on the shape you're learning about.
• Click on the pad to start.
• Follow the instructions in the bottom-left corner.
• On the last click, the formula, workings, and answer will appear in the yellow box.
• Enjoy!

## Lesson Slides

The slider below shows another real example of how to find the area of an ellipse.

## What Is an Ellipse?

An ellipse is a squashed circle. It is symmetrical about its longest axis (called the major axis) and its shortest axis (called the minor axis).

Half of the major axis is the semi-major axis. Half of the minor axis is the semi-minor axis.

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