Problem 45407. Yoonir - 02

Created by Asif Newaz

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Find the area of a six-pointed star inscribed in a circle of radius r.

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Last Solution submitted on Jan 29, 2026

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Rafael S.T. Vieira on 10 Sep 2020

There are infinite ways to inscribe a n-point star on a circle (it can be as thin or as fat as we want). https://www.123rf.com/photo_75546125_stock-vector-set-of-four-golden-six-point-stars-.html The problem should be more specific about its dimensions.

Rafael S.T. Vieira on 10 Sep 2020

I was able to solve the 1st and 3rd problem of this type using the same solution, but had to use a different one for this one. https://mathworld.wolfram.com/Hexagram.html (the problem is actually refering to a regular hexagram.)

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Problem 45407. Yoonir - 02

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Problem 45407. Yoonir - 02

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