Question

A path of width $3.5m$ runs all around a circular pool having an area of $962.5m^2$. Find the area of the path.

Answer 1

$r_1+3.5=r_2$

$\pi r_1^2=962.5m^2$

$\therefore r_1=17.5m$

$\Rightarrow r_2=21m$

Area of path = $\pi r_2^2-\pi r_1^2$

Area of path = $\pi (21{)}^2-962.5$

Area of path = $422.94m^2$