六边形公式的周长

多边形不过是由二维平面上的两个以上线段组成的封闭图形（端到端连接）。多边形是通过使用首尾相连的直线段创建的，这些线段称为多边形的边，点称为多边形的顶点。

二维平面中的六边形是一个有六个角和六个边的物体。在六边形中，所有的边和角都相等。任何六边形的内角总和为 720°。正六边形有 6 个旋转对称和 6 个反射对称。所有内角均为 120°。

我们可以将周长定义为所有六个边的长度之和。

Perimeter = 6*s

where, s is the side of the hexagon.

推导：

We know that there are six sides and all those are equal. 

Consider the side as ‘s’. Then sum of six sides is s + s + s + s + s + s

So perimeter is 6s

示例问题

问题1：求正六边形一侧2厘米的周长。

解决方案：

Given that, length of one side = 2cm

so perimeter = 6*s

substitute s = 2

=> 6*2 = 12 cm

Therefore the perimeter of the regular hexagon with one side 2 cm is 12 cm.

问题 2：求正六边形一侧 10 厘米的周长。

解决方案：

Given that, length of one side = 10cm

so perimeter = 6*s

substitute s = 10

=> 6*10 = 60 cm

Therefore the perimeter of the regular hexagon with one side 10 cm is 60 cm.

问题3：六角形铅笔的一侧是4厘米。铅笔的周长是多少？

解决方案：

Given that, length of one side  of pencil = 4 cm

so perimeter = 6*s

substitute s = 4

=> 6*4 = 24 cm

Therefore the perimeter of the pencil with one side 4 cm is 24 cm.

问题4：每边2厘米有4个螺母，每边3厘米有8个螺栓。找出所有螺母和螺栓的周长。

解决方案：

We know that nuts and bolts are hexagonal shape. so

There are 4 nuts with each side as 2 cm

each nut perimeter is 6*s => 6 * 2 = 12 cm

So , Perimeter of all nuts  is 4 * 12 = 48 cm

There are 8 bolts with each side as 3 cm

each bolt perimeter is 6*s => 6 * 3 = 18 cm

So, Perimeter  of  all bolts  is 8 * 18 = 144 cm

Perimeters of all nuts and bolts is 48 cm and 144 cm

问题5：六边形的一边长12厘米。找出其余四个边的长度并找到周长。

解决方案

We know that,

Sides are equal in hexagon. So all sides are 12 cm

Hence perimeter is 6*s => 6*12 = 72 cm

Therefore the length of remaining four sides are 12 cm each and the perimeter is 72 cm.