Question

Find the arc length of ABC .

Answer 1

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.

$\frac{24\pi }{360} =\frac{x}{240}$

$\frac{24\pi }{6} =\frac{x}{4}$

$\frac{4\pi }{1} =\frac{x}{4}$

1 * x = 4 * 4 * pi

x = 16pi

So, your answer is C.

Hope this helps!