
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
Two concentric circles have the same center $O$. Let $X$ be a point on the diagonal $OP$ of the two circles such that $OX$ is one-third of $OP$. What is the ratio of the area of the circle with radius $OX$ to the area of the circle with radius $OP$? Express your answer as a simplified fraction.

[asy]
import graph;
draw(Circle((0,0),20));
draw(Circle((0,0),6.67));
dot((0,0));
dot((20,0));
dot((6.67,0));
draw((0,0)--(20,0));
label("$O$",(0,0),SE);
label("$P$",(20,0),E);
label("$X$",(6.67,0),NE);
[/asy]

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