
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 logo design, a square of side length 24 inches contains four larger circles and one smaller circle. Each of the larger circles is tangent to two sides of the square and two other larger circles. The smaller circle is placed at the center and is tangent to all four larger circles. Calculate the total shaded area on the logo.

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