
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]


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A square has a side length of 15 cm. At each corner of the square, a quarter circle is drawn with radius 5 cm, with their centers at the corners of the square. Calculate the area of the shaded region left after the quarter circles are drawn inside the square. Express your answer in terms of $\pi$.

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