Question

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.
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Answer 1

Refer to the attachment.

Answer 2

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.

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➞ Cost of 1m rope = 4.50

➞ Cost of 132m rope = 4.50 × 132

➞ Cost of 132m rope = Rs 594

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Therefore :

Total Rope required = 132m

Cost of Total Rope = Rs 594

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