Question

Find the area of the sector of a circle with radius 4cm and angle 30°. Also, find the area of the corresponding major sector [use π=3.14].

Answer 1

Given: Radius of circle = 4cm

And Central angle, θ = 30°

To find: Area of the sector

=4.19cm²

Now, we have to find the area of major sector (unshaded region)

= Area of circle – Area of sector OAPBO

= πr² – 4.19

= {3.14 × (4)²} – 4.19

= {3.14 × 16} – 4.19

= 50.24 – 4.19

= 46.05 cm²

Hence, the area of sector = 4.19cm² and area of the major sector = 46.05cm²