Q. 113.9( 11 Votes )

In Fig. 4, ABCD i

Answer :

On the basis of given conditions in the question the figure can be drawn as follows:


It is given in the question that,


Radius of circle,



As the radius of all the semi-circles is same


Area of 4 semi-circles = AOB + DOC + AOD + BOC


We know that, Area of semi-circle =


Area of 4 semi–circles =



= 4 × 77


= 308 cm2


Also we know that, area of Square = (Side)2


Area of square, ABCD = 14 × 14


= 196 cm2


Hence, Area of shaded region = 2 (Area of square) – 4 (Area of semi-circle)


= 2 × 196 – 308


= 392 – 308


= 84 cm2

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