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2022 AMC 12B Question 24

AMC12 · 2022 AMC 12B

Question 24

The figure below depicts a regular $7$-gon inscribed in a unit circle.

Question illustration

What is the sum of the $4$th powers of the lengths of all $21$ of its edges and diagonals?
  1. $49$
  2. $98$
  3. $147$
  4. $168$
  5. $196$