Question 8 The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280. Find the radius of the field.Total cost of fencing a circular field = Rs 5280
Cost of fencing per meter = Rs 24
So, Total Length of field = (𝑇𝑜𝑡𝑎𝑙 𝑐𝑜𝑠𝑡 𝑜𝑓 𝑓𝑒𝑛𝑐𝑖𝑛𝑔 )/(𝑐𝑜𝑠𝑡 𝑜𝑓 𝑓𝑒𝑛𝑐𝑖𝑛𝑔 𝑝𝑒𝑟 𝑚𝑒𝑡𝑒𝑟)
= 5280/24
= 220 m
Here,
Total length of the field would be circumference of the circular field .
Total length = Circumference of circular field
1/2 marks
220 = 2πr
2πr = 220
2 ×22/7× r = 220
(44 × r)/7 = 220
r = (220 × 7)/44
r = 35 m
1/2 marks
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