
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
To guard an offshore oil platform, it is necessary to distribute around it 5 radars, each with a coverage area in the shape of a circle with radius \( r = 25 \) km. Determine the maximum distance from the center of the platform at which the radars should be placed to ensure a coverage ring of 14 km wide around the platform. Calculate the area of this coverage ring.

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