# How to Find the Area of a Circle

## Finding the Area of a Circle

The area of a circle is found using the formula:

In this formula, **r** is the radius of the circle. The image below shows what we mean by radius:

## How to Find the Area of a Circle

### Question

What is the area of a circle with a radius of 5 cm, as shown below?

### Step-by-Step:

# 1

# 2

Substitute the radius into the formula. In our example, r = 5.

Area = π × 5^{2} = π × 5 × 5 = 78.5 cm^{2}

### Answer:

The area of the circle with a radius of 5 cm is 78.5 cm^{2}.

## How to Find the Area of a Circle Using the Diameter

The area of a circle can be found using the diameter rather than the radius.

The area of a circle, using the diameter, is found using the formula:

In the formula, **d** is the diameter of the circle. The image below shows what we mean by diameter:

Read more about how to find the area of a circle using the diameter