olymmath

HMMT 2025 U34

  • Guts

On the perimeter of a unit circle, 12 points are chosen uniformly and independently at random. Estimate the expected value of the area of the convex 12-gon formed by these points.

Submit a positive number EE written in decimal. If the correct answer is AA , you will receive round (20e−15∣E−A∣)\left(20e^{-15|E - A|}\right) points.

Dataset text NuminaMath olympiads. Quoted with source.

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