
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 diagram shows four semicircles, one with radius $2 \mathrm{~cm}$, touching the other three, which have radius $1 \mathrm{~cm}$.

What is the total area, in $\mathrm{cm}^{2}$, of the shaded regions?
A 1
B $\pi-2$
C $2 \pi-5$
D $\frac{3}{2}$
E $\frac{1}{2} \pi$

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