
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
Consider a rectangular region where the dimensions are 8 feet by 16 feet. Inside this rectangle, there are two circles. The first circle has a radius of 4 feet and is centered such that its diameter aligns with one length (16 feet side) of the rectangle. A second, smaller circle with a radius of 2 feet is also centered along the same length but does not overlap with the first circle. Calculate the total shaded area remaining in the rectangle after the areas of both circles are subtracted.

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