Here is a question for the geometry people: What is the product of the lengths of the the diagonals from one vertex to the other vertices of a regular hexagon inscribed in a unit circle? (with or without proof, the follow up question I have will require proof) I'll post a solution after im done studying for my history final .

Question

Here is a question for the geometry people: What is the product of the lengths of the the diagonals from one vertex to the other vertices of a regular hexagon inscribed in a unit circle? (with or without proof, the follow up question I have will require proof) I'll post a solution after im done studying for my history final >.>

anonymous · Answer

Picture for convenience.

bahrom7893 · Answer

here...

anonymous · Answer

bam!

anonymous · Answer

di(r):
d1=r
d2=2rsin60
d3=2r
d4=2rsin60
d5=r
pi(d1,1,5)=8r^5(sin60)^2=6r^5

anonymous · Answer

So the answer is......(its a unit circle)....your close lol

anonymous · Answer

6

anonymous · Answer

nice! ima post the follow up now lol

anonymous · Answer

Prove that the product of the diagonals from one vertex to the other vertices of an n-gon inscribed in a unit circle is n.