
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 a diagram, two identical smaller circles touch the inside of a larger circle and touch each other exactly at the center of the larger circle. The radius of the larger circle is $10.$ The radii of the two smaller circles are $4$ each. Calculate the area of the shaded region between the larger circle and the two smaller circles.

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