In geometry, perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.
We often find the perimeter when putting up Christmas lights around the house or fencing the backyard garden. Other examples may include finding the total length of the boundary of the soccer field or the length of the crochet or ribbon required to cover the border of a table mat.
For small irregular shapes, we can use a string of thread and place it exactly along the boundary of the shape, once. The total length of the string used along the boundary is the perimeter of the shape.
The perimeter of all polygons can be determined by adding the lengths of their sides/edges.
|Regular Polygons||Irregular Polygons|
Here’s how the perimeter of some common shapes is calculated:
|Polygon name :||Polygon Picture/Image :||Perimeter Formula :|
|P = 3 x a|
|Scalene Triangle||P = a + b + c|
|Square||P = 4 x a|
|Rectangle||P = 2 ( a + b )|
|Quadrilateral||P = a + b + c + d|
|Regular Pentagon||P = 5 x a|
|Regular Hexagon||P = 6 x a|
|Regular Octagon||P = 8 x a|
|Regular N-gon||A regular n-gon with each side a units long||
P = n x a ,
where n is the number of sides and a is the lenght of the sides.
All sides of a regular shape are equal. To find the perimeter of a regular shape, multiply the number of sides by the length of each side.
An irregular shape has sides with different lengths. So, to find the perimeter of an irregular shape, add the length of all the sides.
Some real-life examples where perimeter is used are: - Fencing off a crop field. - Building a barn for horses. - Planning the construction of a house/swimming pool.
Yes, the circumference of a circle is the same as its perimeter. It is the length of the circle's boundary. The formula to calculate the circumference of a circle with radius r is 2𝜋r.