A gardener wants to fence a circular garden of diameter 21m . Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of rope, if it costs ₹4 per meter?

Question

Answer

Circumference of the circle:
2×pi×radius
Diameter: 21m
22/7 × 21 = 66m
66×2=132m( two round(s) )

Cost of rope:-
1m = Rs 4
132m = 132×4
= Rs.528

Answer

Calculating the Length of Rope Needed
To find out how much rope is needed to fence the circular garden, we first need to calculate the circumference of the circle.
- Diameter of the garden: 21 m
- Radius (r): Half of the diameter = 21 m / 2 = 10.5 m
The formula for the circumference (C) of a circle is:
C = 2 * π * r
Using the approximate value of π as 3.14:
- Circumference (C): 2 * 3.14 * 10.5 m = 66.0 m
Since the gardener wants to make 2 rounds of fencing:
- Total Length of Rope Needed: 2 * 66.0 m = 132.0 m
Calculating the Cost of the Rope
Now, let’s determine the cost of the rope.
- Cost per meter of rope: ₹4
- Total Length of Rope Needed: 132.0 m
The total cost can be calculated by multiplying the length of the rope by the cost per meter:
- Total Cost = Length of Rope * Cost per Meter
- Total Cost = 132.0 m * ₹4 = ₹528.0
Final Summary
- Total Length of Rope Needed: 132.0 m
- Total Cost of Rope: ₹528.0
This calculation helps the gardener understand the material required and the associated cost before purchasing the rope for the garden fencing.

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