# How to Find the Radius from the Circumference

## Finding the Radius from the Circumference

The radius of a circle is found from the circumference of a circle using the formula:

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

## How to Find the Radius from the Circumference

Finding the radius from the circumference is easy.

### Question

What is the radius of the circle, with circumference 50 cm, below?

### Step-by-Step:

# 1

# 2

Substitute the circumference into the formula. In our example, C = 50.

Radius = ^{50}⁄_{2π}

Radius = 50 ÷ 2 ÷ π

Radius = 25 ÷ π

Radius = 25 ÷ 3.14

Radius = 8 cm

### Answer:

The radius of the circle is 8 cm.