
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
Consider a pinwheel shape consisting of four triangles in a $6 \times 6$ grid. The center of the pinwheel is located at (3,3), and each triangle (kite) extends from the center to touch the midpoints of the sides of a centered square (2 units from the center in respective directions). What is the total area of the shaded pinwheel?
A) 4
B) 5
C) 6
D) 8
E) 10

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