Question

The radius of a circle with centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of minor and major segments.

Answer 1

Area of minor segment = Area of sector AOBC − Area of right triangle AOB

`= (90°)/(360°) pi(OA)^2-1/2xx"OA"xx"OB"`

`=1/4xx22/7xx(7)^2-1/2xx7xx7`

`=1/4xx22/7xx(7)^2 - 1/2xx7xx7`

= 38.5 - 24.5

= 14 cm²

Area of major segment APB = Area of circle − Area of minor segment

`=(OA)^2 - 14`

`=22/7xx(7)^2-14`

= 154 - 14

= 140 cm² 

Hence,  the area of major segment is 140 cm² .