Starting on the positive x axis and moving 1/3 of the way around the circle in 3 m radius, ow far will it go?

You will move 1/3 of the circumference of the circle with a radius of 3m.

C=2πr so C/3 is:

d=2πr/3, we are told that the radius is 3m so:

d=2π3/3

d=2π m

d≈6.28 m (to nearest hundredth of a meter)