The circumference of any shape determines the direction or boundary that surrounds it in mathematics. In other words, the diameter is also known as the radius of a circle , and it is used to determine the length of a shape’s outline. In this article, we will look at the term “circumference of a circle,” including its description, formula, and methods for calculating the circumference of a circle,and how we can use it as well as several solved examples.

## What is the Circle’s Perimeter?

The Circumference is also named as the perimeter of a circle is the measurement of the circle’s boundary. The area of a circle, on the other hand, estimates the region it covers. The diameter of a circle is its length when we open it and draw a straight line through it. It’s normally expressed in units like centimeters or meters. The radius of the circle is taken into account by using the formula to measure the diameter of the circle.The radius is the half of the diameter in the circle As a result, to calculate the circumference of a circle, we must first determine the radius or diameter. Where 2X of radius is diameter or x/2 is the radius of the circle.

## Circumference of a Circle Formula

The Circumference or also named as the perimeter of a circle = 2πR. Where, R is the provided radius of the circle, π is the mathematical constant with an estimated value of 3.14 or 22/7

Again, Pi (π) is a special mathematical constant and is also the ratio of circumference to diameter of any circle.

where C = π D

- C is the provided circumference of the circle
- D is the provided diameter of the circle

**For instance:** If the provided radius of the circle is 5cm then find its circumference.

Given: Radius = 5cm

Circumference = 2πr = 2 x 3.14 x 5 will give you the answer.

## Area of a Circle Formula

The area of any provided circle is the region enclosed or covered by the circle itself or the boundary of the circle. The stated formula to find the area of the circle is;

A = πr2, which is very widely used.

Where r is the provided radius of the circle, this formula is applicable and used to all the circles with different radii as well.

## Perimeter of Semi-Circle

The semi-circle comes into action when we divide the circle into two equal and similar parts. Consequently, the perimeter of the respective semi-circle also becomes half.

Hence, Perimeter = πr +2r

## Radius of the Circle:

A radius is a distance between the circle’s center and its outer line. In other words half the length of a circle is known as radius the most essential quantity of the circle, from which the formulas for the circle’s area and circumference are extracted. The diameter of a circle is equal to twice the radius of the circle. A semi-circle is formed when the diameter divides a circle into two equal sections.

## Circumference of the Circle:

Circumference represents the distance around a circle or some such other curved geometrical shape. It’s the one-dimensional linear measurement of any two-dimensional circular surface’s boundary. Calculating the diameter of a circle is very often known as calculating the perimeter of a circle since this follows the same idea as finding the perimeter of any polygon.

## How to Find the Perimeter of Circle:

### Technique 1:

Calculating the diameter of a circle is an accurate way of knowing it. The radius of the circle must be known for this. A circle’s radius is the distance between the circle’s center and any point on the circle.

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### Technique 2:

We can’t physically calculate the length of a circle with either a scale or ruler since it’s a curved surface. The **cuemath website** makes it easier for you to calculate the perimeter using different techniques. Cuemath is an excellent learning platform that makes math interesting. Here we detail the simple techniques with the curve system.

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