Q. 284.0( 3 Votes )

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Answer :

Given that D, E and F are midpoints of BC, AC and AB respectively.

AF = 1/2 AB= 1/2 (14)=7cm


As ABC is an equilateral triangle, A = B = C = 60°


Area of shaded region = Area(ΔABC)-Area(AFE)-Area(BFD)-Area(CDE)


As these are arcs we have to find area of sector=


As A = B = C = 60°, θ =60° for all three sectors


Also, radius =AF=7cm for all three sectors


Area of shaded region= Area(Δ ABC)-3Area(AFE)


=


=


=84.77 – 77 =7.77cm2


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