In this case, we'll have to carry out several steps to find the solution.
Step 01:
diameter = 12 km
angle = 150°
lenght arc = ?
Step 02:
length arc = (angle / 360) 2πr
r = 6 km
[tex]lengtharc=\frac{150}{360}(2\pi6)\text{ }[/tex]length arc = 15.71 km
The answer is:
The length of the arc is 15.71 km.