
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 oil platform located at sea, it is necessary to distribute 5 radars around it, each having a coverage area of a circle with a radius of \( r = 25 \) km. Determine the maximum distance from the center of the platform at which they should be placed to provide coverage around the platform in a ring with a width of 14 km. Calculate the area of this coverage ring.

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