Sunday, 11 February 2018

algebra precalculus - An 11-gon with complex numbers

Let $A_1 A_2 \dotsb A_{11}$ be a regular $11$-gon inscribed in a circle of radius $2$.




Let $P$ be a point, such that the distance from $P$ to the center of the circle is $3$.



Find
$[PA_1^2 + PA_2^2 + \dots + PA_{11}^2]$



Note: This can't be made a duplicate. There are no other answers for the other two posts. Please answer.

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