perplexus.info :: Shapes : Maximum Polygon Area Ascertainment

Maximum Polygon Area Ascertainment (Posted on 2023-05-30)

• P is a convex, near regular 2023-sided polygon.
• Precisely 2022 of its sides have length 1, but the remaining side has a length different from 1.

Determine the maximum area of the polygon.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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An intuition

| Comment 1 of 4

My first thought is that P is very close to a half-circle, with twice the radius and twice the area of a regular 2023-sided polygon. I can't do the math right now, though. And I would not be surprised if I was wrong.

Posted by Steve Herman on 2023-05-30 12:15:36

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