if the minute hand of a clock has a clock has length of 5 in., how far does its tip travel in 22 min?


Sagot :

in 22 mins the angle transverse is      22/60 * 360 =    132°
     132°  in radian    =      π/180 * 132 =  0.7333π radians
the formula to find the length of arc of a circle =    S = rФ
 S = length of arc;      r = radius    &      Ф  = angle in radians
  thus
             S =  5 * 0.7333π    ~    3.666π ins
the tip traveled    ~  3.666π ins in 22 mins