Question

The area of a circular garden is $5544m^2$. Outside this garden, a path of uniform width is laid all around. The area of the path is $2002m^2$. Find :
(i) the radius of the circular garden.
(ii) the width of the path.

Answer 1

$\pi r^2=5544$

$r^2=\frac{5544}{22}\times 7=1764$

$r=42=$ Inner Radius

$\pi [R^2-r^2]=2002$

$R^2=1764+637=2401$

$R=49m$

Width of path $=R-r$

$=49-42$

$=7m$.