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Ex 9.2, 14 A circular flower garden has an area of 314 m2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take Ο€ = 3.14) We have a garden of area 314 m2 There is a sprinkler in the center, which covers area of circle with radius 12 m We need to find whether sprinkler can cover the entire garden Let’s find radius of garden first Given, Area of flower garden = 314 m πœ‹r2 = 314 3.14 r2 = 314 r2 = 314/3.14 r2 = 314 Γ— 𝟏𝟎𝟎/(πŸ‘.πŸπŸ’) r2 = 1 Γ— 100 r2 = √100 r = 10 m So, Radius of garden = 10 m & Radius of sprinkler = 12 m Since sprinkler has higher radius, It will cover the entire area of garden So, our figure will look like

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.