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# Area of an Ellipse

(KS3, Year 7)

## The Lesson

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?## Step-by-Step:

# 1

# 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 cm

^{2}## Answer:

The area of the ellipse with a semi-minor axis of 3 cm and a semi-major axis of 5 cm is 47.1 cm^{2}.

## "Find the Area" Widget

## 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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