Question

A circular garden has an area of $314m^2$. A sprinkle at the centre of garden can cover an area that has a radius of $12$m. Will the sprinkle water the entire garden?

Answer 1

Area of circular garden$=314m^2$

area the sprinkler can cover$=\pi r^2$

$=\pi (12{)}^2$

$=144\times 3.14$

$=452.16m^2$

$\therefore$ The sprinkler covers an area of $452.16m^2$ which is greater than $314m^2$. Since the sprinkler is at the centre of the garden, it covers the entire garden.