
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
Given a rectangle $ABCD$ with length $10$ feet and width $6$ feet. A circle is drawn through vertices $A$ and $B$ and tangent to side $CD$. Determine the radius of the circle, in feet.
A) 4 feet
B) 4.5 feet
C) 5 feet
D) 5.5 feet
E) 6 feet

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