
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
In a circle with a radius of 10 inches, two equal parallel chords are drawn 10 inches apart. Calculate the area of the circle that is enclosed between these two chords.
A) \( \frac{100\pi}{3} - 12.5\sqrt{3} \)
B) \( \frac{50\pi}{3} - 25\sqrt{3} \)
C) \( \frac{100\pi}{3} + 25\sqrt{3} \)
D) \( \frac{100\pi}{3} - 25\sqrt{3} \)

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