The length of the arc that is intercepted by the angle is equal to the ratio of the angle to a whole revolution multiplied to the circumference. Mathematically, S = (A / 2π rad) x 2πr Substituting the known values, S = (2.5 rad / 2π rad) x 2π x (6 m) S = 15 m Thus, the length of the intercepted arc is 15 m.