Answer:
7.33 cm
Step-by-step explanation:
To find the length of arc KL we can use the arc length formula:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Arc length}}\\\\s= \pi r\left(\dfrac{\theta}{180^{\circ}}\right)\\\\\textsf{where:}\\\phantom{ww}\bullet\;\textsf{$s$ is the arc length.}\\\phantom{ww}\bullet\;\textsf{$r$ is the radius.}\\\phantom{ww}\bullet\;\textsf{$\theta$ is the central angle in degrees.}\end{array}}[/tex]
In this case:
Substitute the values into the formula and solve for arc length (s):
[tex]s= \pi \cdot 7\left(\dfrac{60^{\circ}}{180^{\circ}}\right)\\\\\\s= \pi \cdot 7\left(\dfrac{1}{3}\right)\\\\\\s= \dfrac{7}{3}\pi \\\\\\ s=7.330382858....\\\\\\s=7.33\; \sf cm\; (nearest\;hundredth)[/tex]
Therefore, the length of arc KL is:
[tex]\Large\boxed{\boxed{7.33\; \sf cm}}[/tex]
