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

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

Check the answer here https://www.teachoo.com/1880/549/Example-1---The-cost-of-fencing-a-circular-field-at-rate/category/Examples/

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

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 = (๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘๐‘œ๐‘ ๐‘ก ๐‘œ๐‘“ ๐‘“๐‘’๐‘›๐‘๐‘–๐‘›๐‘” )/(๐‘๐‘œ๐‘ ๐‘ก ๐‘œ๐‘“ ๐‘“๐‘’๐‘›๐‘๐‘–๐‘›๐‘” ๐‘๐‘’๐‘Ÿ ๐‘š๐‘’๐‘ก๐‘’๐‘Ÿ) = 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 = 2ฯ€r 2ฯ€r = 220 2 ร—22/7ร— r = 220 (44 ร— r)/7 = 220 r = (220 ร— 7)/44 r = 35 m 1/2 marks

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.