
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
Two equal parallel chords are drawn 6 inches apart in a circle of radius 10 inches. Calculate the area of the region between the chords.
A) \(120 - 6\sqrt{91}\) square inches
   B) \(126.6 - 6\sqrt{91}\) square inches
   C) \(140 - 6\sqrt{91}\) square inches
   D) \(126.6 - 12\sqrt{91}\) square inches

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