Question

14. Find the area of the shaded region.
(a)
7 cm
20 cm
30 cm​

Answer 1

Step-by-step explanation:

Given,

side of square =14cm

Area of larger Square =side

2

=14

2

=196cm

2

There are four semi circle that means we have two complete circles of diameter of 2xcm

then we can observe that

3+x+2x+x+3=14

i.e., x=2

so radius of circle is 2cm

Area of non shaded region=area of two circle + area of square of side 4cm

= 2.pi.r

2

+side

2

= 25.12+16

= 41.12cm

2

Hence,

Required area of shaded region =196−41.12=154.88cm

2

.