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Ex 9.2, 4 A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs 4 per meter. (𝑇𝑎𝑘𝑒 𝜋=22/7) Since the gardener makes two rounds of the fence Thus, Length of rope required = 2 × Circumference of circular garden Diameter = 21 m Radius = r = 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟/2 = 𝟐𝟏/𝟐 m Circumference of circular garden = 2𝜋r = 2 × 𝟐𝟐/𝟕 × 𝟐𝟏/𝟐 = 22/7 × 21 = 22 × 3 = 66 m Now, Length of rope required = 2 × Circumference of circular garden = 2 × 66 = 132 m Now, we also need to find cost of rope, Given, Cost of 1 m rope = Rs 4 Cost of 132 m rope = Rs 4 × 132 = Rs 528 ∴ It would cost Rs 528 to fence the garden

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Davneet Singh

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