
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
An $\textit{annulus}$ is formed by two concentric circles with radii $r$ and $s$ ($r > s$). Let $\overline{OP}$ be a radius of the outer circle, and $\overline{PQ}$ be tangent to the inner circle at point $Q$. Let $\overline{OR}$ be the radius of the outer circle that intersects $Q$. Define $k = PQ$, $m = QR$, and $n = PR$. Determine the area of the annulus in terms of $\pi$ and at most one of the variables $k, r, s, m, n$.

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