Question

Renu wants to change the design of the floor of her living room which is of dimensions 6 mx 4 m and it is covered with circular tiles of diameters 50 cm each, as shown in the figure.

1. number of circular tiles along length of room is
2. total number of circular tiles equals
3. area converted by its circular tile is
4. area of rectangular floor is
5. find the area of law that remains and covered with tiles​

Answer 1

Given:

As the diameter of circular tile is 50cm each, then radius=0.5/2=0.25m

Number of tiles lengthwise =6/0.5=12tiles

Number of tiles widthwise=4/0.5=8tiles

So, 12 tiles are length wise and 8 tiles are width wise.

So, total number of tiles= 12×8=96

∴ Area of floor not covered by tiles

Area of rectangular floor - Area of 96 tiles

=6×4−96πr²

=24-96×π×0.25×0.25

=24-96×314×25×25/100×100×100

=24-18.84

=5.12m²