Question

-) In the given figure, Find the area of the shaded region. (Use pi =3.14).
3 cm
3 cm
14 cm
14 cm

Answer 1

Answer:

⇒  Radius of semi-circle (r)=  

4

14−6

​  

=  

4

8

​  

=2cm

⇒  Side of  a small  square 2r=2×2=4cm

⇒  Area of big square =(side)  

2

=(14)  

2

=196cm  

2

 

⇒  Area of a small square =(side)  

2

=(4)  

2

=16cm  

2

 

⇒  Area of 4 semicircle =4×  

2

πr  

2

 

​  

=4×  

2

3.14×(2)  

2

 

​  

=25.12cm  

2

 

∴  Area of shaded region = Area of a big square - Area of a small square - Area of a 4 semicircle.

∴  Area of shaded region=(196−16−25.12)cm  

2

=154.88cm  

2

"

Step-by-step explanation: