
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
Given that a region in the plane is bounded by the graphs of the equations $y = a$, $y = -b$ where $a, b > 0$, the line $x = d$ where $d > 0$, and a semicircle of radius $c$ with its diameter on the y-axis having its center at the origin and curving towards the negative x-axis, determine the total area of this region.

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