
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
Given a square and a circle, where the diagonal of the square is 10 inches, and the diameter of the circle is also 10 inches, determine by how many square inches the area of the circle differs from the area of the square. Express your answer as a decimal to the nearest tenth.

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