
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
Find the value of $r$ such that the line $x + y = 4$ is tangent to the circle whose equation is $(x-2)^2 + (y+1)^2 = r$.
A) $\frac{7}{2}$
B) $4$
C) $\frac{9}{2}$   (Correct)
D) $5$

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