Let's summarize the given information first:
The radius is:
[tex]r=1.7\text{ in}[/tex]And the central angle is:
[tex]a=2\text{ rad}[/tex]To solve this problem and find the length of the arc we use the following formula:
[tex]\text{arc length=}a\times r[/tex]Where "a" is the central angle in radians (in this case a=2) and r is the radius of the circle.
The following image shows these measures:
Now, to find the arc length we substitute a and r into our formula:
[tex]\text{arc length}=2\times1.7\text{ in}[/tex]Solving the multiplication:
[tex]\text{arc length}=3.4\text{ in}[/tex]Answer: 3.4 in
