A gardener want to fence a circular garden of diameter 21m. Find the length of rope he needs to purchase,if he makes 2 rounds of fence. Also find the cost of rope, if it's price is rs. 4.50 per meter.
Answers
Given :-
Diameter of Circular Garden = 21m
He makes 2 rounds of fence with rope
Cost of rope is Rs. 4.50 per m
To Find :-
Length of Rope required to make 2 rounds of fence and cost of rope.
Solution :-
❏ As we know that, fencing is done on the boundary , so we have to find the Circumference of the Circle .
⟾ Circumference of Garden = πd
⟾ Circumference of Garden = 22/7 × 21
⟾ Circumference of Garden = 22 × 3
⟾ Circumference of Garden = 66m
So, 66m of rope is required to fence the Garden in 1 time.
Now,
⟾ Rope required in 2 rounds = 66 × 2
⟾ Rope required in 2 rounds = 132m
Therefore, 132m of rope is required to fence the Garden 2 times.
________________
➞ Cost of 1m rope = 4.50
➞ Cost of 132m rope = 4.50 × 132
➞ Cost of 132m rope = Rs 594
________________
Therefore :
Total Rope required = 132m
Cost of Total Rope = Rs 594
________________