
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
In the diagram, the smaller circles touch the larger circle and each other at the center of the larger circle. The radius of the larger circle is $8.$ What is the area of the shaded region?

[asy]
size(100);
import graph;
filldraw(Circle((0,0),2.5),mediumgray);
filldraw(Circle((-1.25,0),1.25),white);
filldraw(Circle((1.25,0),1.25),white);
[/asy]

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