The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280. Find the radius of the field.

The cost of fencing a circular field at the rate of Rs 24 per metre is

Question 8 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Basic - Part 2

Note : This is similar to Example 1 of NCERT – Chapter 12 Class 10

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo