Question

Find the area of the shaded region in the following figures

Answer 1

Heya !!!





As we can see that there are two rectangles I. the given figure.


Length of rectangles = 12 m


And,




Breadth of rectangles = 3.5 m




Therefore,



Area of two rectangles = 2 × ( L * B )




=> 2 × ( 12 × 3.5)




=> 2 × 42




=> 84 m²



Diameter of big semicircle = 7 + ( 2 × 3.5) = 14 m




Radius = D/2 = 14/2 = 7 m





Area of big semicircle = 1/2 πR²




=> 1/2 × 22/7 × 7 × 7






=> ( 22 × 7 ) / 2




=> 77 m²






Diameter of small semicircle = 7 m





Radius of small semicircle = 3.5





Area of small semicircle = 1/2 πR²





=> 1/2 πR²




=> 1/2 × 22/7 × (3.5)²




=> 38.5 m²





Area of shaded region in big semicircle = Area of big semicircle - area of small semicircle




=> 77 - 38.5




=> 38.5 m²

Therefore,



Area of shaded region = Area of 2 rectangles + 38.5




=>84 + 38.5




=> 122.5 m²



★ HOPE IT WILL HELP YOU ★