
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
What is the number of units in the area of the circle with center at \( R \) and passing through \( S \)? Express your answer in terms of \( \pi \).

[asy]
size(150); pair R = (1,2), S=(-7,6); string stringpair(pair p){return "$("+string(p.x)+", "+string(p.y)+"$)";}
draw((-15,0)--(15,0),Arrows(4)); draw((0,-15)--(0,15),Arrows(4));
dot("$S$"+stringpair(S),S,SE,linewidth(3)); dot("$R$"+stringpair(R),R,NW,linewidth(3));
[/asy]

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