
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
Ollie's leash is tied to a stake at the center of his yard, which is now in the shape of a square. His leash is exactly long enough to reach the midpoint of each side of his square yard. The leash allows him to cover a circular area centered at the stake where the leash is tied. If the area of Ollie's yard that he is able to reach is expressed as a fraction of the total area of his yard, what is this fraction?

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