__8.3 Area of a Sector of a Circle__**(A) Area of a Sector of a Circle**

**1.**If a circle divided into two

**sectors**of different sizes, the

**smaller sector**is known as the minor sector while the

**larger sector**is known as the major sector.

**2.**If

*AOB*is the

**area**of a sector of a circle, of radius

*r*, that subtends an angle

**θ radians**, at the centre

*O*, then

**(B) To Calculate the Area of a Segment of a Circle**

**Example 2:**

The above diagram shows a sector of a circle, with centre

*O*and a radius 6 cm. The length of the arc*AB*is 8 cm. Find**(i)**

*∠*

*AOB*

**(ii)**the area of the shaded segment.

*Solution:***(i)**Length of the arc

*AB*= 8 cm

*r*θ = 8

6 θ = 8

θ = 1.333 radians

∠

*AOB*= 1.333 radians**(ii)**the area of the shaded segment