Question

A mad whose width is $7m$ surrounds a circular path whose circumference is $352m$. Find the area of the mad.

Answer 1

$X=2\pi r$

$\Rightarrow 352=2\times \frac{22}{7}\times r$

$r=\frac{352\times 7}{2\times 22}=56$m$=$Radius of circular path

Outer radius $=56+7=63$m $=$R

Area $=\pi [R^2-r^2]$

$=\pi (R+r)(R-r)$

$=\pi (63+56)(63-56)$

$=\frac{22}{7}\times 119\times 7$

$=2618m^2$.