
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
The acronym "BIO" is formed on a rectangular grid with lines spaced $1$ unit apart. In units, what is the sum of the lengths of the line segments that comprise the acronym "BIO"? Consider the diagram as described: The letter 'B' consists of 2 vertical segments totalling 4 units, one horizontal segment of 1 unit, and one semi-circle spanning vertically of 2 units. Letter 'I' is formed by one 2-unit vertical segment and two 1-unit horizontal segments at the top and bottom. The letter 'O' is a circle with a diameter of 2 units centred at a grid point.
A) $8 + 4\pi$
B) $9 + 2\pi$
C) $9 + 3\pi$
D) $10 + 3\pi$
E) $11 + 2\pi$

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