The article shares the concept, how to calculate polygon circumference, supports readers to understand and easily find solutions to problems to calculate the circumference and area of polygonal blocks in the curriculum. A few illustrated examples of how to calculate polygon circumference have also been updated for readers to review and familiarize themselves with these types of articles
After learning and getting acquainted with basic shapes such as triangles, squares, rectangles, primary students will continue to have access to shapes with higher difficulty than polygons
Calculate irregular polygon circumference, how to calculate uniform polygon circumference.
So what is a polygon? How many types of polygons are there? How to calculate polygon circumference? All will be answered in the article below of Software.
How to calculate polygon circumference
1. Formula for calculating polygon circumference
A polygon is a kinked line created by successive and closed line segments (the ends of the beginning and end points coincide)
You can refer to more concepts and characteristics of polygon types on Wiki
Based on the number and size of the line segments that make up polygons, polygons are classified into 3 main types: regular polygons, convex polygons and concave polygons
Polygon circumference is understood as the length of the line surrounding the polygon and is equal to the sum of the lengths of the sides that make up the polygon.
– Polygon circumference formula: P = a1 + a2 + a3 +… + hidden
Where:
P is the polygon circumference
A1, A2, A3,…, An are the edges of polygons
The formula for calculating the polygon circumference mentioned above is a formula for calculating the general circumference, which is applicable to all types of polygons (both regular polygons and irregular polygons)
Example: Calculating irregular polygon circumference
Exercise 1: Calculate the ABCDF pentagonal circumference with side lengths of 12, 13, 28, 6, 19, respectively
Solution
Based on the formula for calculating polygon circumference, we have
– The circumference of the pentagonal ABCDF is: P(ABCDF) = 12 + 13+ 28 +6+ 19 = 78 cm
2. The formula for calculating the circumference of regular polygons
– Concept: an equilateral polygon is understood to be a polygon with all equal sides and equal vertex angles. Examples of equilateral polygons: Equilateral triangle (3 sides), square (4 sides), regular pentagonal (5 sides), regular hexagons (6 sides)
– Circumference of regular polygons: is a special case of polygons, so the formula for calculating the circumference of regular polygons is also easier to calculate.
P (regular polygon) = a x n
Where:
P is the circumference of regular polygons
a is the length of the side
n is the number of edges
Examples of types of regular polygons and how to calculate the circumference of regular polygons
Example 2: Calculate the circumference of the square ABCD with a length of 1 side of 12 cm
Solution:
According to the formula for calculating the circumference of regular polygons, we have a square circumference ABCD as: P (ABCD) = 12 x 4 = 48cm
Example 3: Calculate the edge of the regular hexagonal ABCDEF knowing that the circumference is equal to 108 cm
Solution:
According to the published data, there are:
According to the formula for calculating the circumference of regular polygons, we have: P (ABCDEF) = 6 x AB = 108 cm
or AB = 18 cm
Which equilateral hexagons ABCDEF is a figure with 6 sides of equal length . Now we will get AB = BC = CD= DE= EF= FA = 18 cm
Answer: The length of one side of the regular hexagons is equal to 18 cm
The above is an example of how to calculate the irregular polygon circumference and calculate the irregular polygon circumference. For exercises that require calculating polygon circumference in 2 ways, you can use the polygon calculation formula usually above or find a way to break the polygon into several smaller cubes and calculate the circumference (Now the polygon circumference will be equal to the sum of the circumference of the small blocks contained in it).
In the above article, Software has shared with you how to calculate the circumference of irregular polygons, regular polygons. If you have mastered the concept, calculating the circumference of triangles, rectangles, squares ,…, then calculating the circumference of polygons cannot make it difficult for you.
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The rhombus is also a regular polygon with 4 parallel and equal sides. The formula for calculating the rhombic circumference is similar to the calculation of the circumference of regular polygons. If you want to learn more about how to calculate the