Yahoo Answers: Answers and Comments for What is the area of a n sided regular polygon of lenght 'a' on each side? [Mathematics]
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From Raghavendran
enSG
Thu, 23 May 2019 03:38:01 +0000
3
Yahoo Answers: Answers and Comments for What is the area of a n sided regular polygon of lenght 'a' on each side? [Mathematics]
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From atsuo: Think regular npolygon , the length of its on...
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https://sg.answers.yahoo.com/question/index?qid=20190523033801AABPzs8
Thu, 23 May 2019 08:21:28 +0000
Think regular npolygon , the length of its one side is a .
If we connect the center of npolygon and all vertices then
the npolygon is divided into same n isosceles triangles .
The base of one isosceles triangle is a , and let the height of it be h .
The top angle is 2π/n , so we can find
tan(π/n) = (a/2)/h
So
h = (a/2)/tan(π/n)
The area of the isosceles triangle is
(1/2)ah = (a^2)/(4tan(π/n))
So the area of the npolygon is
n*(a^2)/(4tan(π/n))
For example , let n = 4 . tan(π/4) = 1 so the area of regular 4polygon (a square) is
4*(a^2)/4 = a^2

From L. E. Gant: https://www.wikihow.com/FindtheAreaofRegul...
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https://sg.answers.yahoo.com/question/index?qid=20190523033801AABPzs8
Thu, 23 May 2019 03:43:42 +0000
https://www.wikihow.com/FindtheAreaofRegularPolygons