
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 $12$ inches apart. Find the area of the part of the circle that lies between the chords.
A) $40.73$ square inches
B) $42.73$ square inches
C) $44.73$ square inches
D) $46.73$ square inches
E) $48.73$ square inches

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