All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Vertices to incircle (Posted on 2019-03-30) Difficulty: 3 of 5
Let A1, A2...An be the vertices of a regular n-sided polygon P. Let X be a random point on the incircle of P. Prove that

A1X2 + A2X2 + ... + AnX2 = nR2(1 + cos2(pi/n))

Here, R denotes the circumradius of P.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionarmando2019-04-07 16:57:57
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information