
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 base radius of a circular television tower is 15 meters. Now, it is planned to plant a 5-meter-wide ring-shaped lawn around it.  
(1) How many square meters of lawn are needed?  
(2) If each square meter of lawn costs 500 yuan, how much money is needed to plant this lawn at least?

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