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 = (πππ‘ππ πππ π‘ ππ πππππππ )/(πππ π‘ ππ πππππππ πππ πππ‘ππ)
= 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 = 2Οr
2Οr = 220
2 Γ22/7Γ r = 220
(44 Γ r)/7 = 220
r = (220 Γ 7)/44
r = 35 m
1/2 marks
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.