Q. 304.3( 19 Votes )

In the given figu

Answer :

Required shaded area = area of rectangle - area of semicircle as diameter BC


Now,


Area of rectangle = length × breadth = AB × BC


Diameter of semicircle, BC = 14 cm


Radius of semicircle,


And area of semicircle of radius 'r' = 


Therefore,


Required area 
   
= 294 - 11(7)
= 294 - 77
= 217 cm2


Now, let us calculate the Perimeter of the shaded region,

We know that perimeter of a semi-circle = πr, where r is the radius of the circle.

Therefore, perimeter of semi-circle = 22/7 × 7 = 22 cm

And from the figure we can see that,

Perimeter of the figure = 2.Length of the rectangle + Breadth of the rectangle + Perimeter of the semi-circle

Perimeter of the figure = 2 × 21 + 14 + 22 = 42 + 36 = 78 cm


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