
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
Let $ABCD$ be a square with a side length of $12$ feet. A circle is drawn through vertices $B$ and $C$ and tangent to an extension of side $DA$. Find the radius of the circle in feet.
A) 7 feet
B) 8 feet
C) 6 feet
D) 10 feet

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