A part of the circumference of a circle is called an arc of the circle.

A circle can be divided into two parts by cutting the circle at two points and each part of the circle is known as an arc of the circle.

On the basis of length of the arcs, the arcs of a circle can be classified into two types.

- Minor arc
- Major arc

A circle is cut at two points $I$ and $J$ and the circle is divided into two parts by this process.

1

The meaning of minor is small. So, a small part of the circumference of the circle is called minor arc of the circle.

The length of this arc is small when compared to other in this case. So, this arc is known as a minor arc of the circle.

$I$ and $J$ are two endpoints of the minor arc of the circle.

2

The meaning of major is big. Therefore, a big part of the circumference of the circle is called major arc of the circle.

The length of this arc is big when compared to other arc. Hence, this arc is known as the major arc of the circle.

$I$ and $J$ are two endpoints of the major arc of the circle.

The minor and major arcs consist of $I$ and $J$ as their endpoints commonly. So, it is caused to create confusion if both arcs are represented by the same endpoints. Due to this reason, minor and major arcs are denoted by their endpoints but another point on the associated arc is displayed between them to avoid confusion.

$K$ and $L$ are points on minor and major arcs respectively. The symbol ($\Huge ⌢$) is used to represent an arc in mathematics.

The minor arc of a circle is called as $arc \, IKJ$ and it is denoted by $\stackrel{\Huge ⌢}{IKJ}$ in mathematics.

The major arc of a circle is called as $arc \, ILJ$ and it is expressed in mathematics as $\stackrel{\Huge ⌢}{ILJ}$.

List of most recently solved mathematics problems.

June 18, 2018

Algebra Trigonometry

Find $x^3+\dfrac{1}{x^3}$ if value of $x+\dfrac{1}{x}$ equals to $2\cos{θ}$

Jun 13, 2018

Limit

Learn how to solve Limit of (1-cos6x)/(1-cos7x) as $x$ approaches $0$

Jun 09, 2018

Trigonometry

Find ΣtanAtanB, if A+B+C = 90°

May 30, 2018

Trigonometry

Find cos 40° + cos 80° + cos 160°

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.