
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 equation of the circle with center at $(2,-1)$ and radius $4$.

A) ${\left(x+2\right)}^{2}+{\left(y+1\right)}^{2}=4$
B) ${\left(x+2\right)}^{2}+{\left(y-1\right)}^{2}=4$
C) ${{(x-2)}^{2}}+{{(y+1)}^{2}}=16$
D) ${\left(x+2\right)}^{2}+{\left(y-1\right)}^{2}=16$

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