
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
Nine cookies of radius $2$ inches are arranged in a hexagonal close-packed layout and cut from a circle of cookie dough of radius $8$ inches. Each cookie touches its immediate neighbors, and all cookies except the central three are tangent to the edge of the dough circle. The leftover dough is reshaped to form another cookie of the same thickness. Calculate the radius, in inches, of the scrap cookie.
A) $3.5$
B) $4$
C) $2\sqrt{7}$
D) $6$
E) $8$

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