Answer:
The length of apothem of given hexagon is 8.66 cm
Step-by-step explanation:
Apothem of a polygon is given by:
[tex]apothem = \frac{s}{2\ tan\ (\frac{180}{n})}[/tex]
Here
s is length of side
tan is trigonometric function
and n denotes number of sides
Given that the polygon is a hexagon
[tex]s = 10cm\\n = 6[/tex]
Putting the values in the formula
[tex]apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm[/tex]
Hence,
The length of apothem of given hexagon is 8.66 cm
