what is the length of the apothem of a regular hexagon with 16cm side lengths round to the nearest tenth

A = 4.6 cm

Step-by-step explanation:

Here, we want to find the length of the apothem, given the side lengths

Mathematically, we have this as;

A = s/2 tan (180/n)

where in this case;

s is the length of the sides which is 16 cm

n is the number of sides (since it is hexagon, we have this as 6)

Substituting these values;

A = 16/2 * tan (180/6)

A = 8 * tan 30

A = 4.62

To the nearest tenth, A is 4.6 cm