Problem

Problem of the Day #102

POTD March 20, 2024

Let $A_1A_2\ldots A_{100}$ be a regular $100$ -gon with a circumcircle of diameter $1$ . Let $M$ be the midpoint of the minor arc $A_1A_2$ . Find $\sum\limits_{i=1}^{100} |PA_i|^2$ .

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Problem Tags: 2-d Algebra Geometry Number theory

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Category: Problem of the Day
Points: 2
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