Parts of Circle

Circle has various parts and some of the important parts of the circle are:

Center of Circle

Center of a circle is defined as the point from which any point on the circumference of the circle is at a fixed distance. The center of a circle is located inside the circle

Radius of Circle

Radius of Circle is the distance between any point on the circumference of the circle and the fixed point called the centre. The constant distance between any point on the circle and its centre is called the radius.

Radius = Diameter/2 

r = D/2

Diameter of Circle

A chord passing through the centre of the circle is called the diameter of the circle. It is the largest chord of the circle and every diameter has an equivalent length. It is denoted by the letter ‘D’.

Diameter = 2 × Radius

D = 2r

Chord of Circle

Any line which touches the circle at two points on its circumference is the chord of the circle. The diameter is also a chord of the circle. The longest chord of the circle is the diameter of the circle.

Tangent of Circle

A line that touches the circle only at one point on its circumference is called the tangent of the circle. It is always perpendicular to the radius of the circle at the point of tangency.

Secant of Circle

A line intersecting the circumference of the circle is called the secant on the circle. We also call it the extended chord.

Arc of a Circle

Any portion of the circumference of the circle is called the arc of the circle.

Segment in Circle

The chord divides the circle into two parts and each part is called the segment of the circle. There are two segments formed by a chord that is,

  • Major Segment
  • Minor Segment

Sector of a Circle

The area between two radii and the corresponding arc in a circle is called the sector of the circle. There are two types of sectors

  • Major Sector
  • Minor Sector

Image added below shows the parts of a circle.

Circles in Maths

Circles in Maths: A circle is a two-dimensional shape where all points on the circumference are the same distance from the centre. In other words, it is a collection of all points in a plane that are the same distance away from a fixed point, called the centre. Its area is equal to pi times the square of its radius.

In this article, you will understand more about circles in math, including their formulas, examples, parts of circles, and practice problems on circles.

Table of Content

  • What is a Circle in Maths?
    • Circle Definition
  • Circle Examples
  • How to Draw a Circle?
  • Interior and Exterior of Circle
  • Parts of Circle
    • Center of Circle
    • Radius of Circle
    • Diameter of Circle
    • Chord of Circle
    • Tangent of Circle
    • Secant of Circle
    • Arc of a Circle
    • Segment in Circle
    • Sector of a Circle
  • Properties of Circle
  • Circle Formulas
  • Area of Circle Proof
  • Types of Circles
  • Solved Examples on Circles
  • Practice Problems on Circles in Maths
  • MCQs on Circles in Maths

Similar Reads

What is a Circle in Maths?

A circle is a perfectly round, flat shape with no corners or ends. Every point on the circumference of the circle is the same distance away from the center, which is called the radius. A line going all the way through the center and touching both sides of the circle is the diameter, and it’s twice as long as the radius. Circles are fundamental shapes in geometry, used to calculate areas, circumferences, and more. They’re also all around us, from wheels to pizzas!...

Circle Examples

Various objects that we observe in real life are circular in shape. Some examples of circular-shaped objects are, Chapattis, Coins, Wheels, Rings, Buttons, CDs / DVDs, Bangles, Plates, etc....

How to Draw a Circle?

Drawing a circle is the most basic construction problem that is taught to students. Construction a circle requires some basic tools such as,...

Interior and Exterior of Circle

If we draw a circle it divides the 2-D plane into three parts which are:...

Parts of Circle

Circle has various parts and some of the important parts of the circle are:...

Properties of Circle

Some of the properties of the circle are :...

Circle Formulas

There are various formulas related to the circle. Let the radius of the circle is ‘r’ then some of the important formulas related to the circle are:...

Area of Circle Proof

We can easily prove the formula for the area of the circle using the area of the triangle formula. For this first, we have to draw various concentric circles inside the given circle. Then open all the concentric circles to form a right-angled triangle....

Types of Circles

Apart from our normal Circle, there are 5 other types of circles based on their shapes:...

Solved Examples on Circles

Few examples on circles are:...

Practice Problems on Circles in Maths

Some practice problems on circles are,...

MCQs on Circles in Maths

Answer the following MCQs:...

FAQs on Circles in Maths

What are Circles in Geometry?...