
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
Paul has designed a similar logo for his business using one large square and three circles along one side of the square. Each circle is tangent to a part of a square side and to its two adjacent circles. If the square has a side length of 50 inches, determine the area that remains shaded in the square assuming each circle covers the entire side of the square equally.

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