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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 $$\pi =3.14$$)

Solution
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Circular area by the sprinkler$$=\pi r^2=3.14\times 12\times 12$$
$$=3.14\times 144=452.16m^2$$
Area of the circular flower garden$$=314m^2$$
Since Area of circular flower garden is smaller than area by sprinkler.
Therefore the sprinkler will water the entire garden.

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