Answer:
[tex]\frac{50}{12}\pi[/tex]
Step-by-step explanation:
To find the length of an arc, we need to find the circumference of the circle and multiply it by the degree given over 360 degrees (it might sound confusing but the equation isn't):
[tex]arc=2\pi r(\frac{x}{360})[/tex]
(suppose that x is the given angle and 360 is in degrees)
Substitute the known values:
[tex]arc=2\pi (5) (\frac{150}{360}) \\=10(\frac{15}{36}) \pi \\=\frac{50}{12} \pi[/tex]
And finally, don't forget to put the unit!