Answer:
C.
Step-by-step explanation:
Since the radius of the circle is 12 units, we can calculate the circumference.
2 * pi * r = 2 * pi * 12 = 24 * pi = 24pi.
The arc angle is 240 degrees, and the whole circle would be 360 degrees. So, we can set up an equation.
[tex]\frac{24\pi }{360} =\frac{x}{240}[/tex]
[tex]\frac{24\pi }{6} =\frac{x}{4}[/tex]
[tex]\frac{4\pi }{1} =\frac{x}{4}[/tex]
1 * x = 4 * 4 * pi
x = 16pi
So, your answer is C.
Hope this helps!
