Diameter of pipe given Area of Cross-section Calculator

✖Area of cross-section while running partially full.ⓘ Area of cross-section [a]			+10% -10%
✖The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle [α]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of pipe given Area of Cross-section [D_pipe]

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Formula

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Diameter of pipe given Area of Cross-section

Formula

`"D"_{"pipe"} = ("a"/(pi/4)*(("α"/(360*pi/180))-(sin("α")/2*pi)))^(1/2)`

Example

`"1.784124m"=("5m²"/(pi/4)*(("180°"/(360*pi/180))-(sin("180°")/2*pi)))^(1/2)`

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Diameter of pipe given Area of Cross-section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2)
D_pipe = (a/(pi/4)*((α/(360*pi/180))-(sin(α)/2*pi)))^(1/2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Area of cross-section - (Measured in Square Meter) - Area of cross-section while running partially full.
Angle - (Measured in Radian) - The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

STEP 1: Convert Input(s) to Base Unit

Area of cross-section: 5 Square Meter --> 5 Square Meter No Conversion Required
Angle: 180 Degree --> 3.1415926535892 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = (a/(pi/4)*((α/(360*pi/180))-(sin(α)/2*pi)))^(1/2) --> (5/(pi/4)*((3.1415926535892/(360*pi/180))-(sin(3.1415926535892)/2*pi)))^(1/2)

Evaluating ... ...

D_pipe = 1.78412411615094

STEP 3: Convert Result to Output's Unit

1.78412411615094 Meter --> No Conversion Required

FINAL ANSWER

1.78412411615094 ≈ 1.784124 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Hydraulic Characteristics of Circular Sewers Sections » Circular Sewer Section Running Full » Diameter of pipe given Area of Cross-section

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 6 Circular Sewer Section Running Full Calculators

Diameter of pipe given Area of Cross-section

Go Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2)

Diameter of Pipe using Hydraulic Mean Depth

Go Diameter of Pipe = Hydraulic mean depth/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))

Hydraulic Mean Depth using Central Angle

Go Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))

Velocity while Running Full given Discharge

Go Velocity while running full = Discharge when pipe is running full/Area of cross-section of pipe

Area of Cross-Section given Discharge

Go Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full

Discharge when Pipe is Running Full

Go Discharge when pipe is running full = Velocity while running full*Area of cross-section of pipe

Diameter of pipe given Area of Cross-section Formula

Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2)
D_pipe = (a/(pi/4)*((α/(360*pi/180))-(sin(α)/2*pi)))^(1/2)

What is sewers ?

Sewer, conduit that carries wastewater from its source to a point of treatment and disposal. The wastewater may be domestic (sanitary) sewage, industrial sewage, storm runoff, or a mixture of the three.

How to Calculate Diameter of pipe given Area of Cross-section?

Diameter of pipe given Area of Cross-section calculator uses Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2) to calculate the Diameter of Pipe, The Diameter of pipe given Area of Cross-section calculates the diameter of pipe when we have prior information of other parameters. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of pipe given Area of Cross-section using this online calculator? To use this online calculator for Diameter of pipe given Area of Cross-section, enter Area of cross-section (a) & Angle (α) and hit the calculate button. Here is how the Diameter of pipe given Area of Cross-section calculation can be explained with given input values -> 1.784124 = (5/(pi/4)*((3.1415926535892/(360*pi/180))-(sin(3.1415926535892)/2*pi)))^(1/2).

FAQ

What is Diameter of pipe given Area of Cross-section?

The Diameter of pipe given Area of Cross-section calculates the diameter of pipe when we have prior information of other parameters and is represented as D_pipe = (a/(pi/4)*((α/(360*pi/180))-(sin(α)/2*pi)))^(1/2) or Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2). Area of cross-section while running partially full & The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Diameter of pipe given Area of Cross-section?

The Diameter of pipe given Area of Cross-section calculates the diameter of pipe when we have prior information of other parameters is calculated using Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2). To calculate Diameter of pipe given Area of Cross-section, you need Area of cross-section (a) & Angle (α). With our tool, you need to enter the respective value for Area of cross-section & Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Pipe?

In this formula, Diameter of Pipe uses Area of cross-section & Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = Hydraulic mean depth/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))

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