Question

Find the arc length intercepted by a central angle of radians in a circle whose radius is 18.4 inches. 13.8π 15.2π 24.5π

Answer 1

If the measure of the given central angle is $\theta$ rad, then the length of the subtended arc is $\ell$ satisfying

$\dfrac{\ell}{2\pi(18.4\,\mathrm{in})}=\dfrac{\theta\,\mathrm{rad}}{2\pi\,\mathrm{rad}}\implies\ell=36.8\pi\theta\,\mathrm{in}$

It's not clear from the question what the value of $\theta$ is...

Answer 2

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 $\theta\text{radians}$

Formula:

$\text{Radian measure of } \theta = \displaystyle\frac{s}{r}\\\\\text{where s is the arc length and r is the radius of circle.}$

Putting the values:

$\theta = \displaystyle\frac{s}{18.4}\\\\s = 18.4\times \theta \text{ inches}$

The arc length is dependent upon the radian measure of central angle.