In the given figure ab is equal to 1 by 2 bc is equal to 14 cm use pi is equal to 22 by 7 find area of quadrilateral asd area of triangle abc area of semicircle hence find the area of shaded region
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Area of Quadrilateral AEFD = 196 cm² ,Area of Δ ABC =49 cm² , Area of Semi Circle = 77 cm² , Area of Shaded region = 70 cm²
Step-by-step explanation:
BC = 14 cm
AB = BC/2 = 14/2 = 7 cm
BC = Diameter = 14 cm
BE = Radius = 7 cm
AE = AB + BE = 7 + 7 = 14 cm
AD = EF = BC = 14 cm
Area of Quadrilateral AEFD = 14 * 14 = 196 cm²
Area of Δ ABC = (1/2) * 14 * 7 = 49 cm²
Area of Semi Circle = (1/2)π R²
= (1/2) (22/7) * 7²
= 77 cm²
Area of Shaded region = 196 - 49 - 77
= 70 cm²
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