The problem asks to find the distance traveled when moving $\frac{1}{3}$ of the way around a circle with a radius of 3 meters, starting on the positive x-axis.

1. Problem Description

The problem asks to find the distance traveled when moving $\frac{1}{3}$ of the way around a circle with a radius of 3 meters, starting on the positive x-axis.

2. Solution Steps

The circumference of a circle is given by the formula:

$C = 2\pi r$

where $r$ is the radius of the circle.

Given the radius $r = 3$ m, the circumference of the circle is:

$C = 2\pi (3) = 6\pi$ m

We want to find the distance traveled when moving $\frac{1}{3}$ of the way around the circle. This distance is $\frac{1}{3}$ of the circumference:

Distance $= \frac{1}{3} C = \frac{1}{3} (6\pi) = 2\pi$ m

Using the approximation $\pi \approx 3.14$, the distance is:

Distance $\approx 2(3.14) = 6.28$ m

3. Final Answer

The distance traveled is approximately 6.28 m.