Answer:
Explanations:
The central angle of a regular polygon of n sides is given as:
Since this is a regular hexagon, there are 6 sides
n = 6
Therefore:
The area of a regular hexagon is given as:
The side length of the hexagon is 24 in.
That is, a = 24
Substitute a = 34 into the formula for the area above:
The Apothem = (2 x Area) / Perimeter
Perimeter of a regular hexagon = 6a
Perimeter = 6 x 24
Perimeter = 144 in
Apothem = (2 x 1496.49) / 144
Apothem = 20.79