From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in figure). Find the area of the remaining sheet.



It is given in the question that,


Radius of bigger circle = 14 cm


Area of the circle = πr2


Area of bigger circle = × 14 × 14


= 22 × 2 × 14


= 44 × 14


= 616 cm2


Also, it is given that:


Radius of two small circles = 3.5 cm


Area of the circle = πr2


Area of 2 small circles =


= 44 × 0.5 × 3.5


= 22 × 3.5


= 77 cm2


Length of rectangle = 3 cm


Breadth of rectangle = 1 cm


Area of rectangle = Length × Breadth


Area of rectangle = 3 × 1


= 3 cm2


Hence,


Remaining area of sheet = Area of bigger circle – Area of 2 small circles – Area of rectangle


= 616 – 77 – 3


= 616 – 80


= 536 cm2


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