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# Area of a Circle Calculator

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

Table of Contents:

## 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?

A **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,**

- r = radius
- 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.

** Radius - **The 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 3: **Find the circumference.

Circumference = πd = 3.14 *8 = **25.12**