Question
what is the apothem of a regular hexagon with sides of 16 inches?
Answers
Damon
It is the distance from the center to the midpoint of a side.
That is the leg of a right triangle whose other leg is 8 inches.
Each of the interior angles of the hexgagon is [180 - (360/6)] = 120 so the angle in our right triangle is 120/2 = 60 degrees
tan 60 =x/8
x = 8 tan 60 = 8 sqrt 3
That is the leg of a right triangle whose other leg is 8 inches.
Each of the interior angles of the hexgagon is [180 - (360/6)] = 120 so the angle in our right triangle is 120/2 = 60 degrees
tan 60 =x/8
x = 8 tan 60 = 8 sqrt 3
do
the answer to your question would be
X = 8 tan 60 = 8 sqrt 3
X = 8 tan 60 = 8 sqrt 3