
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The circumference of a circle $D$ is 90 meters. What is the length of $\widehat{EF}$ if the central angle at $D$ subtending $\widehat{EF}$ is $120^\circ$?
[asy]
import markers;

import olympiad; import geometry; import graph; size(150); defaultpen(linewidth(0.9));
draw(Circle(origin,1));
draw(dir(90)--origin--dir(-30));
label("$E$",dir(90),N);
label("$D$",origin,S);
label("$F$",dir(-30),E);
markangle(Label("$120^\circ$"),dir(-30),origin,(0,1),radius=20);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user