
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
The Cookie Monster now finds another cookie with the boundary given by the equation $x^2 + y^2 - 10 = 2x + 6y$. He is not just curious about the size of this cookie but also wants to know the area it covers. How large is this cookie in terms of its radius and what is its area?

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