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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 water the entire garden ?  (Take \(\pi={3.14}\))
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Question

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 water the entire garden ?  (Take \(\pi={3.14}\))

Answer

yes
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Solution

Area covered by sprinkler, \({A}=\pi{r}^{{2}}\)
Radius \((r)=12m\)
\({A}={3.14}\times {12}\times {12}\)
\(={452.16}{m}^{{2}}\)
As, \(452.16{m}^{{2}}\)(area covered by sprinkler) \(>{314}{m}^{{2}}\) (area of circular garden),
 it will water the entire garden.
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