
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 new diagram, there is a larger circle with a radius of $10.$ Two smaller circles are inside the larger circle, each touching one another and touching the larger circle at its center. The radius of each smaller circle is $5.$ 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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