
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
A circular table has a radius of $5$ feet. Eight rectangular place mats are placed on the table. Each mat has a width of $1$ foot and a length $y$. They each have two corners on the edge of the table, these two corners being endpoints of the same side of the mat. Each mat is positioned so that the inner corner touches the inner corner of an adjacent mat. What is $y$?
A) 3.60
B) 3.83
C) 4.00
D) 3.75

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