Q. 333.9( 11 Votes )

In Figure 6, thre

Answer :

Given: Radius of each circle = 3.5 cm



Join the centers of the three circles. An equilateral triangle of side 7 cm each is formed.


A = B = C = 60° = (π/3) radians


Area of the shaded region = Area of triangle ABC – Area of the three sectors


Area of equilateral triangle = × (Side)2


Area of triangle ABC = × (7)2


= cm2


Area of the sector with central angle A = (1/2) × (A/180) × π × r2


= (1/2) × (60/180) × π × 3.5 × 3.5


=


= 77/12


Area of sector with central angle A = Area of sector with central angle B = Area of sector with central angle C


Area of three sectors = 3 × (77/12)


= 77/4


Thus, Area of the shaded region =


= cm2

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