question_answer 1)

A circular flower garden has an area of about \[\text{314 }{{\text{m}}^{\text{2}}}\]. A sprinkler at the centre of the garden can cover an area that has a radius of\[\text{12 m}\]. Will the sprinkler water the entire garden? \[~\left( \text{Take }\pi =\text{3}.\text{14} \right)\]

Answer:

                Radius of the area covered by the sprinkler at the centre of the garden (r) = 12 cm \[\therefore \] Area covered by the sprinkler at the centre of the garden \[=\pi {{r}^{2}}\] \[=\text{3}.\text{14(12}{{\text{)}}^{\text{2}}}{{\text{m}}^{\text{2}}}\] \[\text{= 452}\text{.16 }{{\text{m}}^{\text{2}}}(>31\text{4 }{{\text{m}}^{\text{2}}})\] Hence, the sprinkler will water the entire garden.