Question

A circular path runs around a circular plot.If the circumference of the plot and the path are $44m$ and $88m$ respectively,find the width of the path ?

Answer 1

$circumferenceofpath$=88$m

$\Rightarrow 2\pi r=88\Rightarrow 2.\frac{22}{7}.r=88\Rightarrow r=14m$

circumference of plot$=44$m

$\Rightarrow 2\pi r^{\prime }=44\Rightarrow 2.\frac{22}{7}.r^{\prime }=44\Rightarrow r^{\prime }=7m$

therefore width of path$=r-r^{\prime }=14-7=7m$