If the measure of the given central angle is [tex]\theta[/tex] rad, then the length of the subtended arc is [tex]\ell[/tex] satisfying
[tex]\dfrac{\ell}{2\pi(18.4\,\mathrm{in})}=\dfrac{\theta\,\mathrm{rad}}{2\pi\,\mathrm{rad}}\implies\ell=36.8\pi\theta\,\mathrm{in}[/tex]
It's not clear from the question what the value of [tex]\theta[/tex] is...
Answer:
The arc length is dependent upon the radian measure of central angle.
Step-by-step explanation:
We are given the following information in the question:
Radius of circle = 18.4 inches
In order to answer this question we need to make the following assumption:
Let the central angle of circle measured as [tex]\theta\text{radians}[/tex]
Formula:
[tex]\text{Radian measure of } \theta = \displaystyle\frac{s}{r}\\\\\text{where s is the arc length and r is the radius of circle.}[/tex]
Putting the values:
[tex]\theta = \displaystyle\frac{s}{18.4}\\\\s = 18.4\times \theta \text{ inches}[/tex]
The arc length is dependent upon the radian measure of central angle.
