Area of a Circle Calculator

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