Examples on Perimeter Formulas

Example 1: Find the perimeter of triangle that has sides a = 5 cm, b = 8 cm, c = 10 cm.

Solution:

Perimeter of Scalene Triangle(P) = Sum of All Sides  

Perimeter(P) = a + b + c

P = 5 + 8 + 10

Perimeter(P) = 23 cm

Example 2: Find the perimeter of a circle whose radius is 7 cm

Solution:

Perimeter/Circumference of Circle(C) = 2×π×R

C = 2 × (22/7) × 7 (π = 22/7)

 C = 44 cm

Example 3: Find the perimeter of square which has each side equals to 10 cm.

Solution:

Perimeter of a Square = Sum of All Sides

Perimeter(P) = 4 × Side

P = 4 × 10

P = 40 cm

Example 4: Find the perimeter of a rectangle whose length(l) = 5 cm and breadth(b) = 8 cm.

Solution:

Perimeter of Rectangle(P) = 2×(l + b)

P = 2 × (5 + 8)

P = 2 × (13) = 26 cm

Example 5: Find the perimeter of an equilateral triangle whose side is 8 cm

Solution:

Given,

Side of Equilateral Triangle = 8 cm

Perimeter of Equilateral Triangle(P) = 3 × (Side)

P = 3 × 8 = 24 cm

Perimeter Formulas are the mathematical Formulas used to calculate the total boundary length of any geometrical shape. In mathematics or in daily lives geometry and geometrical shapes always play an essential role. Starting from a simple tray to a big building, we are always surrounded by geometry in different shapes and sizes. The shape and surface to be taken up by such shapes need to be calculated so as to store them without any difficulty, or to meet the needs of the people using them. Such study or computation is given a special name in the field of mathematics.

Whenever the dimensions of various geometrical shapes are computed and their area or capacity is measured in mathematics, it is termed mensuration. Mensuration also helps to calculate the dimensions of other shapes from their surface area and capacity.