Arc Length
Given a circle of radius r, the length of the arc formed by a central angle θ is given by:
[tex]L=\theta\cdot r[/tex]
We are given the central angle ∠JKL = 144° and the radius r = JK = 6 units.
The angle must be converted to radians by using the equivalence π = 180°
Thus:
[tex]\begin{gathered} \theta=144\cdot\frac{\pi}{180} \\ \theta=2.51327\text{ rad} \end{gathered}[/tex]
Calculating the arc length:
[tex]\begin{gathered} L=2.51327\cdot6 \\ L=15.08 \end{gathered}[/tex]
The length of the arc JL is 15.08 units
