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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

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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 = (π‘‡π‘œπ‘‘π‘Žπ‘™ π‘π‘œπ‘ π‘‘ π‘œπ‘“ 𝑓𝑒𝑛𝑐𝑖𝑛𝑔 )/(π‘π‘œπ‘ π‘‘ π‘œπ‘“ 𝑓𝑒𝑛𝑐𝑖𝑛𝑔 π‘π‘’π‘Ÿ π‘šπ‘’π‘‘π‘’π‘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 = 2Ο€r 2Ο€r = 220 2 Γ—22/7Γ— r = 220 (44 Γ— r)/7 = 220 r = (220 Γ— 7)/44 r = 35 m 1/2 marks

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