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In the given figure, arcs have been drawn of radius 7cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.

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Solution:

Let the measure of ∠A, ∠B, ∠C and ∠D be θ₁, θ₂, θ₃ and θ₄ respectively 

Required area = Area ofsector with centre A + Area ofsector with centre B + Area ofsector with centre C + Area ofsector with centre D

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