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Q.14 A circular flower garden has an area of\( 314 m^2. \) A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler can water the entire garden? [Take\(\pi \) = 3.14]
Answer :

Given: Area of the flower garden =\( 314 m^2 \) Radius of the circular portion covered by the sprinkler = 12 m
\(\therefore area = \pi r^2 = 3.14 × 12 × 12 = 3.14 × 144 m^2 = 452.16 m^2 \)
Since\( 452.16 m^2 > 314 m^2 \)
Yes, the sprinkler will water the entire garden.