
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
On a spherical planet with diameter $10,000 \mathrm{~km}$, powerful explosives are placed at the north and south poles. The explosives are designed to vaporize all matter within $5,000 \mathrm{~km}$ of ground zero and leave anything beyond $5,000 \mathrm{~km}$ untouched. After the explosives are set off, what is the new surface area of the planet, in square kilometers?

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