[tex]\bold{\huge{\orange{\underline{ Solution }}}}[/tex]
Given :-
- The diameter of a circular pond is 70 m
- The cost of fencing is Rs . 12 per metre
To Find :-
- We have to find the area of circular pond and the cost of fencing around it with 4 round at Rs . 12 per metre
Let's Begin :-
We have,
- Diameter of the pond = 70 m
Therefore,
Radius of the pond
[tex]\sf{ = }{\sf{\dfrac{ Diametre}{2}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 70}{2}}}[/tex]
[tex]\bold{\purple{= 35 \:m }}[/tex]
Thus, The radius of the pond is 35 m
Now,
We know that,
Circumference of circle = 2πr
Therefore ,
Circumference of the circular pond
[tex]\sf{ = 2πr}[/tex]
[tex]\sf{= 2 × }{\sf{\dfrac{ 22}{7}}}{\sf{ × 35 }}[/tex]
[tex]\sf{ = 2 × 22 × 5 }[/tex]
[tex]\sf{ = 44 * 5 }[/tex]
[tex]\bold{\purple{= 220 m }}[/tex]
Thus, The area of the circular pond is 220 m
Now,
We have to find the cost of fencing around it with 4 round
Therefore,
- The cost of fencing per metre = Rs12
The cost of fencing of 1 round of circular pond
[tex]\sf{ = 12 × 220}[/tex]
[tex]\bold{\purple{ = Rs.2640 }}[/tex]
The cost of fencing of 4 rounds of circular pond
[tex]\sf{ = 2640 × 4 }[/tex]
[tex]\bold{\purple{ = Rs. 10560 }}[/tex]
Hence, The total cost of fencing of circular pond with 4 rounds of it ,is Rs.10560
