Question

In the given figure, ABCD is a square of side `14cm`.Semicircles are drawn with each side of square as diameter. Find the area of the shaded region.
A. `144m^(2)`
B. `164m^(2)`
C. `184m^(2)`
D. `154m^(2)`

Answer 1

Correct Answer - D
The area of the shaded region = Sum of the areas of two semi circles
= Area of the circle with side of the square as diameter
Since the side of the square is 14 m,
`therefore"Radius of the circle"=(14)/(2)=7m`
`therefore" The required area"=pir^(2)`
`=(22)/(7)xx7xx7`
`=22xx7=154m^(2)`