Question

Find the area of the shaded region:

Answer 1

Given,

side of square =14cm

Area of larger Square = side²

=14²

= 196 cm²

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 2 cm

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

= 2.πr² + side²

= 25.12 + 16

= 41.12 cm²

Hence,

Required area of shaded region = 196 − 41.12 = 154.88 cm².