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SUBTOPIC 8.3: AREA OF SECTOR OF A CIRCLE CHAPTER 8:  CIRCULAR MEASURE
The net of a cone consists of a circle and a sector.
Area of sector OPQR Area of circle AREA OF A SECTOR The area of a sector, A is proportional to the angle  subtended at the centre of the circle. θ  rad Q
Therefore, The area of sector of a circle is; When using the formula   ,  remember that the  angle  θ  is measured  in radians.
Example 1 ,[object Object],1.4 rad
Solution Area of the shaded sector
Example 2 ,[object Object],120 º
Solution Area of the shaded  sector 120º = 2.094 rad
Example 3 ,[object Object],θ
Solution Area of the sector
WORKSHEET
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],8 cm 145 cm 2 1.778 rad 200 cm 2 6.5 cm 18л cm 2 θ = 1.64 rad 72 cm 2 50º 38.12 cm 9.15 cm 90 cm 2 Angle subtended,  θ Radius,  r Area of sector,  A
SUMMARY Circular Measure Л  rad = 180º Area of sector, A θ

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