This PS tests if you know the sum of all angles of a hexagon.
The formula for the sum of angle of an n-sided polygon is = 180 (n-2)
So the sum of the angles of the hexagon is 180 (6-2) = 180 (4)
Now, since it is an equilateral polygon, each of its angles is going to be equal.
Thus \(\frac{180\ \left(4\right)}{6}\) = 120
Now the diameter joining any two points of the hexagon will be an angle bisector (divide angle in 2 equals)
So there will be 3 diameters, creating 6 equilateral Triangles.
Equilateral triangles have equal angles and equal lengthed sides.
The 2 sides of the triangle are radius so \(\frac{16}{2}\) = 8
The third side of the triangle is the side of the hexagon, which is also going to be 8.
The correct answer is D
