1

I know that the answer is a circle, and that the branch of mathematics from which it can be proved is the calculus of variations, but I would like to know if a proof exists which I can understand at my level. I am a high school student, and I have completed the school curriculum on calculus.

Thank you in advance for your help!

techlord10
  • 11
  • https://math.stackexchange.com/questions/4808/why-does-a-circle-enclose-the-largest-area – Matti P. Jan 22 '20 at 12:37
  • See if you could prove that the area of a regular polygon is maximized if 1. the apothem and radius have the same length, or 2. the angle between the apothem and radius (or even two adjacent radii) is $0$. – Andrew Chin Jan 22 '20 at 15:09

0 Answers0