Question

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

Answer 1

We know that

Area of the circular flower garden$=314m^2$

Sprinkler at the centre of the garden can cover an area that has a radius$=12m$

Area of the circular flower garden $=\pi r^2$

$$\begin{gathered} =314=3.14\times r^2 \\ =\frac{314}{3.14}=r^2 \\ =r^2=100 \\ =r=\sqrt{100} \\ =r=10m \end{gathered}$$

∴Radius of the circular flower garden is $10m$.

Since, the sprinkler can cover an area of radius $12m$

Hence, the sprinkler will water the whole garden.