Lor
2022 AMC 12B
Problem 24
The figure below depicts a regular 
-gon inscribed in a unit circle.![[asy] import geometry; unitsize(3cm); draw(circle((0,0),1),linewidth(1.5)); for (int i = 0; i < 7; ++i) { for (int j = 0; j < i; ++j) { draw(dir(i * 360/7) -- dir(j * 360/7),linewidth(1.5)); } } for(int i = 0; i < 7; ++i) { dot(dir(i * 360/7),5+black); } [/asy]](https://latex.artofproblemsolving.com/9/2/e/92ecdecb16bc7556a4fcda2df737b19e1d80013e.png)
What is the sum of the 
th powers of the lengths of all 
of its edges and diagonals?
Solution
Lor
2022 AMC 12B
Problem 24
The figure below depicts a regular -gon inscribed in a unit circle.What is the sum of the th powers of the lengths of all of its edges and diagonals?
Solution