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Floor of a room is of dimensions $5 m × 4 m$ and it is covered with circular tiles of diameters $50$ cm each. Then the area of floor that remains uncovered with tiles from the following choices is:

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15.7 m 2

4.3 m 2

32 m 2

2.8 m 2

answer is B.

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Detailed Solution

It is given that, the dimension is

5 m × 4 m

.
The diameter of circular tile is

50 c m

Obtain the area of a room. We get,

l b = 5 × 4

= 20 m 2

Obtain the area of each circular tile.
The radius of each circular tile is

502 = 25 c m

Area of each circular tile

= π (25) 2

= 3.14 × (25100) 2 m = 3.14 16 m 2

Total number of tiles

= 10 × 8

= 80

tiles.
Area of

80

tiles

= 80 × 3.14 16

= 15.7 m 2

Area of the floor remains uncovered

=

area of the room

−

Area of

80

circular tiles

= 20 − 15.7

= 4.3 m 2

Therefore, the area of the floor that is not covered by tiles is

4.3 m^{2}

.
Hence, option 2) is correct.

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