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