
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
Someone divided a quarter-circle into two sectors with areas in the ratio 2:3 by marking off five equal segments on the arc and drawing a line from the circle's center to the second marking point. They claim that this line divides the quarter-circle into the desired ratio. Is this construction accurate, and if not, what is the error?

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