
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
If $r$ is positive and the line whose equation is $x + y = r + 1$ is tangent to the circle whose equation is $x^2 + y^2 = r^2$, then find the value of $r$.
A) $1 + \sqrt{2}$
B) $1$
C) $2$
D) $\sqrt{2}$
E) $2\sqrt{2}$

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