
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 parallel beam of light falls onto the base of a glass cone (refractive index $n=1.5$) along its axis. The cross-section of the beam coincides with the base of the cone, which has a radius $R=1 \mathrm{~cm}$. The height of the cone is $h=1.73 \mathrm{~cm}$. Determine the area of the bright spot on a screen that is perpendicular to the axis of the cone and located at a distance $a=1$ cm from the apex of the cone.

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