Perimeter of Hexagon Formula
Generally speaking, a hexagon is a six-sided polygon. All simple hexagons (without self-intersecting faces) have 720° of internal angles. Hexagons that are both equilateral and equiangular are defined as regular hexagons. Despite having circumscribed circles, it is bicentric (it has an enveloping circle) and tangential (it has an encircling circle).
In a regular hexagon, the sum of all interior angles is 720 degrees , while the sum of exterior angles is 360 degrees
In a regular hexagon, the measurement of each interior angle is 120 degrees, and the measurement of each exterior angle is 60 degrees
Typically, a hexagon can be divided into six triangles of equal length
Regular hexagons have parallel opposite sides
All six sides of the rectangle are added up to define the perimeter
Formula: 6 × s
In this case, s denotes the hexagon’s side.
There are six sides, each of which is equal. Let us call one side an ‘s’. Hence, the sum of six sides is s + s + s + s + s + s.
That means the perimeter is 6s.
Q1: Find the perimeter of the given regular hexagon whose side measure is 12 cm.
Ans: Let s be the side of a regular hexagon, then the perimeter of a regular hexagon
Therefore, Perimeter of the regular hexagon with a 12 cm side = 6 x 12
= 72 cm
Q2: Evaluate the length of the side of a regular hexagon if its perimeter is given as 78 cm.
Ans: If s represents the side of a regular hexagon,
then the perimeter of a regular hexagon = 6s
According to the question,
6s = 78
Now, transposing 6 into RHS we have,
s = 78/6
So, s(side of the regular hexagon) = 13 cm