Find the length of an arc with a radius of 6.0m swept across 2.5 radians.

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.