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How to find an apothem of a polygon with 6 sides

How to find an apothem of a polygon with 6 sides-example-1
User Chris Arndt
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1 Answer

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The apothem of a polygon is given by the formula


a=(s)/(2)\tan ((360)/(n))

where s is the length of side and n is the number of sides of the polygon

Here the side length is 2 meters and number of sides is 6 hence the apothem is given by:


\begin{gathered} a=(2)/(2)\tan ((360)/(6)) \\ a=\sqrt[]{3}\text{ meters} \end{gathered}

Hence the apothem is the square root of 3 which is approximately 1.732 meters.

User Axilmar
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