Question

Find the length of LMExpress your answer as a fraction times pie(Info in figure)

Answer 1

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

`LM=(\theta)/(360\degree)*2\pi r`

Where θ is the central angle that is m∠LKM = 90° and r is the radius that is KL = 3

`\begin{gathered} LM=(90\degree)/(360\degree)*2\pi(3) \\ LM=(1)/(4)*6\pi \\ LM=(3\pi)/(2) \end{gathered}`

Therefore, the length of LM is 3pi