# Area of a Circle Calculator

To use the area of a circle calculator, fill the required input boxes and hit the calculate button

## Area of a circle Calculator

Circle area calculator is used to find the area of a circle with the help of a given radius of that circle. This area of a circle calculator also computes the diameter and circumference of the circle.

## What is a Circle?

circle is a round plane figure whose boundary or circumference consists of points equidistant from a fixed center. A Circle is a set of points that are formed in a closed loop, every point on which is a fixed distance from a center point.

The radius of a circle is the distance from the center of a circle to any point on the circle. The distance across a circle through the center is called the diameter.

### Formulas

Area of Circle = πr²

Diameter of Circle = 2r

Circumference of Circle = 2πr = πd

where,

• d = diameter
• π = 3.14

## Properties of a Circle:

Center   - A point inside the circle. All points on the circle are equidistant (same distance) from the center point.

RadiusThe radius is the distance from the center to any point on the circle. It is half the diameter. See the Radius of a circle.

Diameter - The distance across the circle. The length of any chord passing through the center. It is twice the radius. See the Diameter of a circle.

Circumference - The circumference is the distance around the circle.

## How to find the area, diameter, and circumference of a circle?

Examples:

Find the area, diameter, and circumference of a circle with the given radius 4.

Solution

Step 1: Find the area.

Area = πr² = 3.14 * 4² = 3.14 * 16 = 50.24

Step 2: Find the diameter.

Diameter = 2r = 2 *4 = 8

Step 3Find the circumference.

Circumference = πd = 3.14 *8 = 25.12