Question

Find the area of the sector of a circle of radius 7 cm and of central angle 90°. Also, find the area of corresponding major sector.

Answer 1

Given that,

Radius of circle = 7 cm

Central angle = 90°

Now, area of minor sector of circle

= `(πr^2θ)/360^circ`

= `(π(7)^2)/4`

= `(22 xx 7 xx 7)/(7 xx 4)`

= 38.5 cm²

Area of complete circle

= πr²

= π(7)²

= 154 cm²

Now, area of major sector

= Area of complete circle – Area of minor sector

= 154 – 38.5

= 115.5 cm²