4. 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 the
rope, if it costs rupees 4 per meter. (Take π = 22/7)
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Answer:
Diameter of the circular garden=21m
∴ Radius of the circular garden=
2
21
m
Now, circumference of circular garden=2πr=2×
7
22
×
2
21
=22×3=66m
The gardener makes 2 rounds of fence so the total length of the rope of fencing =2×2πr=2×66=132m
Since the cost of 1 meter rope=Rs. 4
Therefore, cost of 132 meter rope=4× 132=Rs. 528.
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