The area of a circular pond with circumference 88m is equal to the area of a sqaured garden. What is the cost of fencing around the squared garden at the rate of RS. 10.25 per metre?
Answers
Answer:
Rs 1017.21
Step-by-step explanation:
circumference=2πr
given circumference=88 m
therefore ,2πr=88 m
r=14 m
area of a circle=πr^2
r=14 m
therefore the area of the circle will be
πr^2= 22/7*14*14
=616 m^2
It is given that the area of this circle is equal to the area of the square garden so,
area of a square=l*l
l*l=616 m^2
l^2=616 m^2
l=√616=24.81 m
perimeter of a square=4*l
therefore the perimeter of the the square field is=4*24.81= 99.24 m
cost of fencing one meter =Rs 10.25
Hence the cost of fencing is= 10.25*99.24
= Rs 1017.24