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answer :- 1620.5 cm²
Step - by - step explaination .
Given :- Area of equilateral triangle = √3/4 a²
=> a² = 17320.5×4 /√3
=> a² = 17320.5×4/ 1.7320
=> a² = 4000
=> a² = 200cm .
Area of shaded region = Area of ∆ ABC - area of 3 sector
17320.5 - 3 [ 60°/360°× 3.14× (200/2)²]
17320.5 - 3[ 1/6×3.14×100×100]
17320.5 - 3×5233.33
17320.5 - 15700 = 1620.5 cm² .
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