
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 regular hexagon has a side length of 8 cm. Calculate the area of the shaded region formed by connecting two non-adjacent vertices to the center of the hexagon, creating a kite-shaped region.

[asy]
size(100);

pair A,B,C,D,E,F,O;
A = dir(0); B = dir(60); C = dir(120); D = dir(180); E = dir(240); F = dir(300); O = (0,0);

fill(A--C--O--cycle,heavycyan);

draw(A--B--C--D--E--F--A);
draw(A--C--O);
[/asy]

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