
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 large circular pizza dough has a radius of 4 inches. Eight smaller circular pizzas, each with a radius of 1 inch, are cut from it as shown. Each neighboring pizza is tangent to each other, and six of them are arranged around a central two, which are tangent to each other and all around are tangent to the edge of the dough. The remaining dough is reshaped into one more circular pizza of the same thickness. What is the radius in inches of this additional pizza?
A) 2
B) 4
C) $\sqrt{16}$
D) 2$\sqrt{2}$
E) $\sqrt{8}$

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