A point moves in $X-Y$ plane according to $X=4 \sin \;6t$ and $Y=4(1-\cos \;6t)$.The distance traversed by the particle in 4 seconds is (x and y are in meters)

Question

$$(a)\;96 m \quad (b)\;48 m \quad (c)\;24 m \quad (d)\;108 m$$