Minor arc Major arc

What is sector?

A sector is the part of a circle enclosed by any two radii of the circle and

their intercepted arc.

**Angle of sector (Central angle of sector)**

Central Angle is the angle subtended by the arc of the sector at the centre

of the circle in which the sector forms a part.

A semi- circle is a sector whose central angle is 180 degree.

A quadrant of a circle is a sector whose central angle is

90 degree .

Quadrant (90 degree) semicircle (180 degree)

**Length of the arc (l)**

Arc length of a sector POQ is the length of the portion on the circumference of the circle intercepted between the bounding radii (OP and OQ) and is denoted by l.

**Area of the sector**

**Relationship between area of the sector and its length of arc**

**Perimeter of a sector**

NOTE:

**Example problems**

**Question 1**

**Question 2**