# Sector of a Circle

Any two points which lie on a circle define two arcs. The shorter arc that is less than a semicircle is called the minor arc and its unit length is a portion of the circumference which is always less than half of the circumference of the circle.

The longer arc that is more than a semicircle is called the major arc and its unit length is a portion of the circumference which is always more than half of the circumference of the circle.

An intercepted arc is that arc which is formed when segments intersect parts of a circle and create arcs.

A minor arc is represented by using only the two endpoints of the arc. In this figure, the minor arc is represented by $\widehat{FE}$.

A major arc is named by three points where the first and third are the endpoints, and the middle point is any point on the arc between the endpoints. In this figure, the major arc is represented by $\widehat{ACB}$.

The portion of a circle which is enclosed by two radii of the circle and their intercepted arc is called a **Sector**.The two radii divide the circle into two arcs and thus to two sectors called a major sector and a minor sector.

A minor sector has the minor arc enclosed and has an angle at the centre of the circle of less than 180°.

A major sector has the major arc enclosed and has an angle at the centre of the circle of more than 180°.

**Special types of Sectors:** The two common sectors, the Quadrant and the Semicircle are two special types of Sectors.

A quarter of a circle is called a Quadrant. One half of a circle is called a Semicircle.**In real world, the best example for a sector is a pizza slice. Each pizza slice represents a sector. The part of the wind screen of the car on which the wiper wipes is also a sector.**