Floor of a room is of dimensions 5m × 4m and it is covered with circular tiles of diameters 50 cm each as shown in figure. Find area of floor that remains uncovered with tiles. (use π = 3.14)


Length of the floor = l = 5 m


Breadth of the floor = b = 4 m


Area of the floor = l × b = 5 × 4 = 20 m2


Now, Diameter of each circular tile = 50 cm


Radius of each circular tile = r = 25 cm = 0.25 m


Area of one circular tile = πr2


= 3.14 × (0.25)2


= 0.19625 m2


Area of such 80 tiles = 80 × 0.19625


= 15.7 m2


Area of the floor that remains uncovered with tiles =


Area of the floor – Area of all 80 circular tiles


= 20 – 15.7 = 4.3 m2


Hence, the required area of floor that remains uncovered with tiles is 4.3 m2.


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