Answer:
A = 4.6 cm
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