The diameter of a clock's face is 6 inches. find the length of the mirror arc formed by the hands of the clock at 4: 00. round to the nearest hundredth.

We know that

360°/12 hour> 30°/hour

Central angle at 4 .00 is 120 degrees

the radius of a clock is 6/2> r=3 in
length of a circumference=2*pi*r> 2*pi*3> 18.84 in

the minor arc at 4 .00 is  for a central angle of 120°
so
if 360° (full circle)> has a length of 18.84 in
 120°> X
X=120*18.84/360> X=6.28 in

the answer is
6.28 in

Do the inverse operation