
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 $0.5$ inches are cut from a circle of cookie dough. The layout has eight cookies surrounding one centered cookie, all equally spaced and each outer cookie tangent to the central cookie as well as adjacent cookies. The diameter of the circle from which cookies are cut measures exactly twice as much as the total width taken up by three adjacent cookies on one line. Determine the radius of a cookie formed by re-shaping the leftover scrap.
A) $\sqrt{6.75}$
B) $1.5$
C) $\sqrt{9}$
D) $2$

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