
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 given diagram, there is a larger circle and two smaller circles inside it. The smaller circles are tangent to the larger circle and tangent to each other. The radius of the larger circle is $10.$ The distance from the center of the large circle to the point where the smaller circles touch each other is $4.$ Find the area of the shaded region.

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