
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
Given two numbers $x$ and $y$ randomly chosen from the interval $[-1,1]$, find the probability that $x^2 + y^2 < \frac{1}{4}$.

A) $\frac{\pi}{16}$
B) $\frac{\pi}{8}$
C) $\frac{\pi}{4}$
D) $\frac{\pi}{2}$

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