Q. 44.0( 7 Votes )

What is the cost of fencing a circular place of radius 7.7 m. with three rounds of wire, if the wire costs Rs 50 per m?

Answer :

We have


Given: Radius of the circular fence, r = 7.7 m


The wire is about the circular fence. So, we need to find the circumference of this circular fence in order to find the length of the wire used in 1 round of fence.


Circumference of circle is given by,


Circumference = 2πr


Circumference


Circumference


If the circumference of the circular fence = 48.4 m


Then, length of wire used in 1 round = 48.4 m


length of wire used in 3 rounds = 3 × 48.4


= 145.2 m


If the cost of 1 m of wire used = Rs. 50


Then, cost of 145.2 m of wire used = 50 × 145.2


= 7260


Thus, cost of fencing the circular place with 3 rounds of wire is Rs. 7260.


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