# Circle Calculator

A circle is formed by the set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane. The fixed point is called the origin or center of the circle.

## What is Circle Calculator?

'Cuemath's Circle Calculator' is an online tool that helps to calculate the area and perimeter for a given radius. Cuemath's online Circle Calculator helps you to calculate the area and perimeter in a few seconds.

## How to Use the Circle Calculator?

Please follow the below steps to find the area and perimeter:

**Step 1:**Enter the radius of the circle in the given input box.**Step 2:**Click on the**"Calculate"**button to find the area and perimeter**Step 3:**Click on the**"Reset"**button to find the area and perimeter with a different radius.

## How to find the Circle Calculator?

**Area of Circle** is defined as the amount of space enclosed within the boundary of a circle. It is measured in square units. The formula to calculate the area of a circle is:

**Area of a circle = πr ^{2 }square units**

Where,**'r'** is the radius of the circle and **π(Pi)** is the mathematical constant with an approximate value of 3.14.

The** perimeter of a circle** is defined as its boundary or the complete arc length of the periphery of a circle. It is also known as the circumference of a circle. The formula to calculate the perimeter of a circle is:

**Perimeter of a circle = 2πr units**

Where,**'r'** is the radius of the circle and **π(Pi)** is the mathematical constant with an approximate value of 3.14.

**Solved Example:**

Find the area and perimeter of a circle, if the radius is 5 units.

**Solution:**

Given: Radius (r) = 5 units

Area of a circle = πr^{2 }

= 3.14 × 5^{2}

= 3.14 × 25

= 78.5 square units

Perimeter of circle = 2πr

= 2 × 3.14 × 5

= 31.4 units

Similarly, you can try the calculator and find the area and perimeter of a circle for the following:

- Radius = 7 units
- Radius = 11 units
- Radius = 8 units