Answer:
[tex]L=31.2\ in[/tex]
Step-by-step explanation:
Length of an arc of a circle
The arc of a circle is a portion of the circumference of a circle. If the circle has a radius r and subtends an angle θ (in radians) with the circle center, then the arc length is
[tex]L=\theta\cdot r[/tex]
We are given the values
[tex]\theta=2.4\ radians[/tex]
[tex]r=13\ in[/tex]
We compute the arc length
[tex]L=2.4\cdot 13[/tex]
[tex]\boxed{L=31.2\ in}[/tex]
