Question

Example 2 : Find the area of the sector of a circle
with radius 4 cm and of angle 30°. Also, find the area
of the corresponding major sector (Use n = 3.14).
Solution : Given sector is OAPB (see Fig. 12.8).
0​

Answer 1

Step-by-step explanation:

We have,

Let the radius of circle r=4cm.

Angle θ=30

o

Area of sector of circle

=

360

o

θ

×πr

2

=

360

o

30

o

×π×4×4

=

12

π

×16

=

3

4π

=

3

4

×3.14

=4.186cm

2

Area of major sector = Area of circle-area of minor sector

=πr

2

−4.186

=3.14×4×4−4.186

=3.14×16−4.186

=50.24cm.

2