Question

Renu wants to change the design of the floor of a living room which is of dimension 6 metre into 4 metre and it is covered with circular tiles of diameters 50 cm each as shown in the figure find the area covered by each circular tiles

Answer 1

Given:

The dimensions of the floor of the living room = 6 m × 4 m

The diameter of each circular tile = 50 cm

To find:

Number of circular tiles along length of room

• Total number of circular tiles

• Area covered by each circular tile

• Area of rectangular floor

The area of the floor that remains uncovered with tiles

Solution:

The radius of each circular tile = 50/2 cm = 25 cm = 0.25 m

Number of circular tiles along the length of room = 6/0.50 = 12

Number of circular tiles along the width of room = 4/0.50 = 8

Math

Total number of circular tiles = 12 × 8 = 96

5 points

The area covered by each circular tile =

× (0.25)² m²

\pi

                                                                        = 3.14 × 0.0625 m²

                                                                        =

0.19625 m²

The area of the rectangular floor = 6 m × 4 m = 24 m².

The area of the rectangular floor = 6 m × 4 m = 24 m².The area of the floor that remains uncovered with tiles

• 24 - (96 × 0.19625) m²
• 24 - 18.84 m²
• 5.16 m²