Question

The area of a circular pool is 616 square metre. The owner wants to replace the tiling at the edge of the pool. The edging is 25 cm wide, so she plans to use 6-inch square tiles to form a continuous inner edge. How many tiles will she need to purchase?
A)704
b) 816
c) 972
d) 516
i need explanation also. plz​

Answer 1

Answer:

550 rs

Step-by-step explanation:

The area of circular park is 616m2

⟹πr2=616r2=616×227=196r=14cm

the wide track is of width 3.5m

Radius of outer circle is 14+3.5=17.5m

The circumerence is 2πr2×722×17.522×2.5=110m2

The cost of fencing is 5×110=550Rs.

Answer 2

Note: the given question is incomplete and the complete question is attached below.

Given:

area of the circular pool$=616m^{2}$

width of the edge$=25 cm$

length of the square tiles$=6 inch$

To find: Number of tiles required.

Solution:

Assume that r is the radius of the pool.

$\[A = \pi {r^2}\]$

$\[ \Rightarrow 616 = \frac{{22}}{7}{r^2}\]$

$\[ \Rightarrow {r^2} = \frac{{616 \times 7}}{{22}}\]$

$\[\begin{array}{l} \Rightarrow {r^2} = 28 \times 7\\ \Rightarrow {r^2} = 196\\ \Rightarrow r = 14m\end{array}\]$

Find the circumference of the pool.

$\[\begin{array}{l}C = 2\pi r\\ \Rightarrow C = 2 \times \frac{{22}}{7} \times 14\\ \Rightarrow C = 2 \times 22 \times 2\\ \Rightarrow C = 88m\end{array}\]$

Understand that, if the edge is 25 cm wide then 4 tiles are needed to placed per meter.

Find the total number of tiles.

Total tiles, $\[{\rm{88}} \times {\rm{4 = 352 tiles}}\]$

Hence, the total number of tiles is 352.