Last updated on August 5th, 2025
The perimeter of a shape is the total length of its boundary. For a circular pipe, the perimeter is often referred to as the circumference. Perimeter is also used for various applications like determining the amount of material needed for cladding or insulation. In this topic, we will learn about the perimeter of a pipe.
The perimeter of a pipe, often referred to as the circumference, is the total outer length around the circular section of the pipe. It can be calculated using the formula for the circumference of a circle, πͺ = 2Οπ, where π is the radius of the circular section. For instance, if a pipe has a radius, r = 7 cm, then its perimeter (circumference) is C = 2Ο Γ 7 β 44 cm.
Letβs consider another example of a pipe with a radius, π = 5 cm. So the perimeter (circumference) of the pipe will be: πͺ = 2Οπ = 2Ο Γ 5 β 31.4 cm.
To find the perimeter (circumference) of a pipe, we apply the formula πͺ = 2Οπ. For instance, if a pipe has a radius of 3 cm, the perimeter is calculated as πͺ = 2Ο Γ 3 β 18.85 cm. Example Problem on Perimeter of Pipe - For finding the perimeter of a pipe, we use the formula πͺ = 2Οπ. For example, if r = 4 cm, then the perimeter = 2Ο Γ 4 β 25.13 cm. Therefore, the perimeter of the pipe is approximately 25.13 cm.
Learning some tips and tricks makes it easier to calculate the perimeter of pipes. Here are some tips and tricks given below: Always remember that a pipe's perimeter is simply the circumference of its circular section. Use the formula, πͺ = 2Οπ. Calculating the perimeter of a pipe starts by determining the radius or diameter. If the diameter is given, divide it by 2 to get the radius, then apply the formula. If dealing with multiple pipes, ensure all radii are measured accurately before calculating. For practical applications, remember to use the same unit of measurement for all dimensions to avoid errors in calculations. If you are given the diameter instead of the radius, use the formula πͺ = Οd, where d is the diameter, for a quick calculation.
Did you know that while working with the perimeter of a pipe, people might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
A circular pipe has a perimeter (circumference) of 50 cm. If the diameter is known to be 15.92 cm, verify the given perimeter using the diameter.
The calculated perimeter using the diameter is approximately 50 cm.
The given perimeter = 50 cm. Diameter (d) = 15.92 cm. Using the formula, πͺ = Οd: πͺ = Ο Γ 15.92 β 50 cm. Therefore, the calculated perimeter matches the given perimeter.
An insulated pipe with a perimeter of 94.25 cm is used in construction. Determine the radius of the pipe.
The radius of the pipe is approximately 15 cm.
Given that the perimeter (circumference) of the pipe is 94.25 cm, we use the formula: πͺ = 2Οπ 94.25 = 2Οπ 94.25 Γ· 2Ο β 15 Therefore, the radius of the pipe is approximately 15 cm.
Find the perimeter of a pipe with a diameter of 20 cm.
The perimeter of the pipe is approximately 62.83 cm.
Perimeter (circumference) of pipe = Οd πͺ = Ο Γ 20 β 62.83 cm. Therefore, the perimeter of the pipe is approximately 62.83 cm.
A contractor needs to cover a pipe with a material that measures the perimeter. The pipe has a radius of 8 meters. How much material is needed to cover the pipe's perimeter?
The contractor will need approximately 50.27 meters of material.
The perimeter of a pipe is calculated using the formula: πͺ = 2Οπ πͺ = 2Ο Γ 8 β 50.27 meters.
Calculate the perimeter of a circular garden pipe with a radius of 9 cm.
The perimeter of the pipe is approximately 56.55 cm.
The perimeter (circumference) is calculated by summing the circular length around the pipe: πͺ = 2Οπ πͺ = 2Ο Γ 9 β 56.55 cm.
Perimeter: The total length around the boundary of a shape, in this context, the circular section of a pipe. Circumference: Another term for the perimeter of a circle, used to describe the outer length of a pipe. Radius: The distance from the center of a circle to any point on its perimeter. Diameter: The distance across a circle through its center, equal to twice the radius. Formula for Circumference: The mathematical expression used to calculate the perimeter of a circular pipe, πͺ = 2Οπ.
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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