The rule of the length of an arc is
[tex]s=r\theta[/tex]
r is the radius of the circle
Cita is the central angle subtended by this arc in radian measure
Since the radius of the circle is 4 inches, then
[tex]r=4[/tex]
Since the measure of the central angle is 1.9 radian, then
[tex]\theta=1.9[/tex]
Substitute them in the rule above
[tex]\begin{gathered} s=4\times1.9 \\ s=7.6\text{ inches} \end{gathered}[/tex]
The length of the arc is 7.6 inches
