
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
A $1 \times 3$ rectangle is inscribed in a semicircle with the longer side on the diameter. What is the area of the semicircle?
A) $\frac{9\pi}{8}$
B) $\frac{12\pi}{8}$
C) $\frac{13\pi}{8}$
D) $\frac{15\pi}{8}$
E) $\frac{16\pi}{8}$

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