 # Expert Assistance for Chords: Comprehensive Resources and Practice Problems

Recent questions in Chords Ada Lloyd 2022-11-27

## How is called longest chord of a circle Rosemary Chase 2022-11-15

## Sum and average length of chordsFrom a specific point A on a circle's circumference, am drawing various chords. a) what is the sum of length of such chords and b) what is the average length of such chords?Assuming a radius r, I'm trying to solve a) in the below manner:One specific chord length $=2r\mathrm{cos}\left(\mathrm{\Theta }\right)$To get the sum, I'm integrating over But i don't think this is right. Please point me in the correct direction. Maribel Vang 2022-10-29
## Suppose we are given a convex n-gon and all possible pairs of non adjacent vertices are joined to form chords. Let f(n) be the number of pairs of intersecting chords. So $f\left(4\right)=1,f\left(5\right)=5$. I want to determine f(n) in general.Some thoughts:Its not clear to me as to why f(n) is well defined.$f\left(n\right)=f\left(n-1\right)+$ something. I want to determine that something.Is f(n) an upper bound for the crossing number of ${K}_{n}$? Mattie Monroe 2022-10-27