# How to Find the Diameter from the Area

## Finding the Diameter from the Area

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

In this formula, **A** is the area of the circle. The image below shows what we mean by finding the diameter from the circumference:

## How to Find the Diameter from the Area

Finding the diameter from the area is easy.

### Question

What is the diameter of the circle, with area 50 cm^{2}, below?

### Step-by-Step:

# 1

Start with the formula:

Diameter = 2√ (^{A}⁄_{π})

**Don't forget:** √ means square root, / means ÷ **and** π is pi (≈ 3.14)

# 2

Substitute the area into the formula. In our example, A = 50.

Diameter = √ (^{50}⁄_{π})

Diameter = √ (50 ÷ π)

Diameter = √ (50 ÷ 3.14)

Diameter = √ 16 cm

Diameter = 4 cm

### Answer:

The diameter of the circle is 4 cm.