We are given the following information
KL = 3
m∠LKM = 90°
We are asked to find the arc length LM
The arc length LM is given by
[tex]LM=\frac{\theta}{360\degree}\times2\pi r[/tex]
Where θ is the central angle that is m∠LKM = 90° and r is the radius that is KL = 3
[tex]\begin{gathered} LM=\frac{90\degree}{360\degree}\times2\pi(3) \\ LM=\frac{1}{4}\times6\pi \\ LM=\frac{3\pi}{2} \end{gathered}[/tex]
Therefore, the length of LM is 3pi
