How to find an apothem of a polygon with 6 sides

Question

asked Apr 28, 2023 66.5k views

1 Answer

AndrewO · Answer 1 · 2023-05-03T05:04:44+0000

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.