# How to Find the Area of an Ellipse

## Finding 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:

## Interactive Widget

Use this **interactive widget** to create an ellipse and then calculate its area. Start by clicking in the shaded area.

**Oops, it's broken!Turn your phone on its side to use this widget.**

## 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}.