Respuesta :

Answer:

Step-by-step explanation:

The formula for arc length is

[tex]AL=\frac{\theta}{360}*\pi d[/tex] where theta is the central angle. We are given the central angle when we are told that the measure of arc EFG is 240 degrees. The diameter is given as 36, so filling in:

[tex]AL=\frac{240}{360}*\pi (36)[/tex] which can be simplified down a bit to

[tex]AL=\frac{2}{3}*\pi (36)[/tex] and a bit more to

[tex]AL=2\pi(12)[/tex] which gives us, finally,

[tex]AL=24\pi[/tex]

I can't tell which of your answers matches this one because they're much too small to read.