Question

Fig. 15.103
40. In Fig. 15.104, find the area of the shaded region. (Use a =
3.14).
[CBSE 20
14 cm
3 cm
3-sm
14 cm
Fig. 15.104​

Answer 1

Answer:

154.88

Step-by-step explanation:

area of the four semi circles with radius 2cm because 14-3-3=8

and in that 8--> two semi circles and a square of side equal to the diameter of the semi circles inside so x+2x+x=8

4x=8

x=8/4=2

so radius = 2

so area of 4 semi circles = 4(π*r^2)/2= 2*3.14*2*2= 25.12cm^2

and area of the squares formed by adding the diameters of semi circles =4*4=16

so total shape area = 16+25.12= 41.12

and area of the square with having side 14 is 196cm^2

so shaded area = 196-41.12= 154.88cm^2