A circular flower garden has an area of 314 sq.m, a sprinkler at the center of the garden can cover an area that has a radius of 12m. Does the sprinkler water cover the entire garden? (take pi =3.14)

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Solution

Radius of sprinkler's = 12m
Area of Garden = 314 sq. m
Hence, Area of garden = $π r^{2}$
$\Rightarrow$ $π r^{2}$ = 314
$\Rightarrow$ $r^{2} = \frac{314}{3.14}$
$\Rightarrow$ r = $\sqrt{1} 00$
$\Rightarrow$ r = 10 m
As sprinkler's radius is more than the garden radius, hence it covers the entire garden.

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A circular flower garden has an area of 314 sq.m, a sprinkler at the center of the garden can cover an area that has a radius of 12m. Does the sprinkler water cover the entire garden? (take pi =3.14)

Radius of sprinkler's = 12m Area of Garden = 314 sq. m Hence, Area of garden = πr2 ⇒ πr2 = 314 ⇒ r2=3143.14 ⇒ r = √100 ⇒ r = 10 m As sprinkler's radius is more than the garden radius, hence it covers the entire garden.