
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
The circular gate of a park has an area of 246 square inches. Tom plans to decorate the perimeter of the gate with a festive ribbon for an upcoming event. To account for potential waste due to cutting the ribbon, he decides to buy 5 inches more of the ribbon than the gate's circumference. How many inches of ribbon will Tom need to buy if he uses $\pi = \frac{22}{7}$ to make his calculations?

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