Q. 44.3( 77 Votes )

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Answer :

As we know that,



From the above figure we see,


Diameter of bigger semi-circle, D = 42 cm


S1 and S4 are bigger semicircles with Radius, R = 21 cm


Also, S2, S3, S5 and S6 are smaller semi-circles with diameter, d equal to the radius of bigger semi-circle.


d = R





AB = 693 sq.cm


Similarly,



AS = 173.25 sq.cm


Area of shaded region = Area(S1) + Area(S4) + Area(S3) + Area(S6) – Area (S2) – Area(S5)


Area of shaded region = AB + AB + AS + AS – AS - AS


Area = 2 × AB


2 × 693 = 1386 sq.cm


Area of shaded region is 1386 sq.cm


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