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Math Help - Area of a Regular Polygon without using Trigonometry

  1. #1
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    Area of a Regular Polygon without using Trigonometry

    Can anyone give me some direction on how to find the side length or the area of a regular polygon if I know the apothem or the radius, without using Trigonometry? I need something that works for any amount of sides. Any help would be greatly appreciated!
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  2. #2
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    Re: Area of a Regular Polygon without using Trigonometry

    best I can do w/o trig is $A = \dfrac{n s a}{2}$ where

    $n = $number of sides

    $a = $apothem length

    $s = $side length

    To get a side in terms of the apothem or radius you're going to need a tiny bit of trig.
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