Question

a gardener wants to fence a circular garden of diameter 28. find the length of the rope he needs to purchase, if he makes two rounds of fence. also find the cost of the rope if its cost ₹5 per metre.(pi=22/7)

pls answer by correct answer​

Answer 1

Step-by-step explanation:

Diameter = 28 m

Radius = 28/2 = 14 m

Circumference = 2πr

= 2×(22/7)×14

= 2×22×2

= 4×22

= 88 m

Rope used = 2 times of circumference

= 2×88

= 176 m

Cost per metre = ₹5

Cost for 176 m = 5×176

= ₹880

Answer 2

Complete Question :

›»› A gardener wants to fence a circular garden of diameter 28m. Find the length of the rope he needs to purchase, if he makes two rounds of fence. also find the cost of the rope if its cost ₹5 per metre. (π = 22/7).

Answer :

›»› 176 m length of the rope he needs to purchase, if he makes two rounds of fence.

›»› ₹880 cost of the rope if its cost is ₹5 per metre.

Given :

• A gardener wants to fence a circular garden of diameter 28cm.
• He makes two rounds of fence.
• Cost ₹5 per metre.

To find :

• The length of the rope he needs to purchase.
• The cost of the rope if its cost ₹5 per metre.

How to solve?

Here in this question we have to find the length of the rope he needs to purchase and also find the cost of the rope if its cost ₹5 per metre. So, firstly we need to find the radius of the circular garden, after that we will find the length of the rope he needs to purchase and the cost of the rope if its cost ₹5 per metre on the basis of conditions given above.

Solution :

→ Diameter= 28 m.

→ Radius = Diameter ÷ 2

→ Radius = 28 ÷ 2

→ Radius = 14 m.

As we know that

→ Circumference of garden = 2πr

→ Circumference of garden = 2 * 22/7 * 14

→ Circumference of garden = 2 * 22 * 2

→ Circumference of garden = 44 * 2

→ Circumference of garden = 88 m.

Therefore, the length of the rope he needs to purchase = 2 * Circumference of garden.

→ Length of rope = 2 * 88

→ Length of rope = 176

Hence, 176 m length of the rope he needs to purchase, if he makes two rounds of fence.

Now,

The cost of the rope if its cost ₹5 per metre = 5 * Length of the rope.

→ Cost = 2 * 176

→ Cost = ₹880

Hence, ₹880 cost of the rope if its cost is ₹5 per metre.