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Area of Flow for Circular Channel Formula

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Area of flow of circular channel is the area of cross-section of the flow of a circular open channel. Check FAQs

A = (R^{2}) \cdot (θ - (\frac{\sin (2 \cdot θ)}{2}))

A - Area of Flow of Circular Channel?R - Radius of Circular Open Channel?θ - Half Angle by Water Surface in Circular Channel?

Area of Flow for Circular Channel Example

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Here is how the Area of Flow for Circular Channel equation looks like with Values.

Here is how the Area of Flow for Circular Channel equation looks like with Units.

Here is how the Area of Flow for Circular Channel equation looks like.

1.7333 = ({0.75}^{2}) \cdot (2.687 - (\frac{\sin (2 \cdot 2.687)}{2}))

1.7333m² = ({0.75m}^{2}) \cdot (2.687rad - (\frac{\sin (2 \cdot 2.687rad)}{2}))

1.7333 = ({0.75}^{2}) \cdot (2.687 - (\frac{\sin (2 \cdot 2.687)}{2}))

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Area of Flow for Circular Channel Solution

Follow our step by step solution on how to calculate Area of Flow for Circular Channel?

FIRST Step Consider the formula

A = (R^{2}) \cdot (θ - (\frac{\sin (2 \cdot θ)}{2}))

Next Step Substitute values of Variables

∴

A = ({0.75m}^{2}) \cdot (2.687rad - (\frac{\sin (2 \cdot 2.687rad)}{2}))

Next Step Prepare to Evaluate

∴

A = ({0.75}^{2}) \cdot (2.687 - (\frac{\sin (2 \cdot 2.687)}{2}))

Next Step Evaluate

∴

A = 1.73334472410464m²

LAST Step Rounding Answer

∴

A = 1.7333m²

Area of Flow for Circular Channel Formula Elements

Variables

Functions

Area of Flow of Circular Channel

Area of flow of circular channel is the area of cross-section of the flow of a circular open channel.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Flow of Circular Channel

Radius of Circular Open Channel

Radius of circular open channel is the measure of the radius of the curved path of a circular open channel for liquid flow.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Open Channel

Half Angle by Water Surface in Circular Channel

Half angle by water surface in circular channel at the center is half of the total angle subtended by the flow in open channels having a circular channel.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Half Angle by Water Surface in Circular Channel

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.

Syntax: sin(Angle)

Other formulas in Flow in Open Channels category

Go Velocity of Chezy's formula

v = C \cdot \sqrt{m \cdot i}

Go Chezy's constant considering velocity

C = \frac{v}{\sqrt{m \cdot i}}

Go Hydraulic mean depth using Chezy's formula

m = (\frac{1}{i}) \cdot {(\frac{v}{C})}^{2}

Go Chezy's constant considering Bazin formula

C = \frac{157.6}{1.81 + (\frac{K}{\sqrt{m}})}

How to Evaluate Area of Flow for Circular Channel?

Area of Flow for Circular Channel evaluator uses Area of Flow of Circular Channel = (Radius of Circular Open Channel^2)*(Half Angle by Water Surface in Circular Channel-((sin(2*Half Angle by Water Surface in Circular Channel))/2)) to evaluate the Area of Flow of Circular Channel, The Area of flow for circular channel formula is known while considering the radius of the circular path, and the half-angle subtended by the water surface at the centre. Area of Flow of Circular Channel is denoted by A symbol.

How to evaluate Area of Flow for Circular Channel using this online evaluator? To use this online evaluator for Area of Flow for Circular Channel, enter Radius of Circular Open Channel (R) & Half Angle by Water Surface in Circular Channel (θ) and hit the calculate button.

FAQs on Area of Flow for Circular Channel

What is the formula to find Area of Flow for Circular Channel?

The formula of Area of Flow for Circular Channel is expressed as Area of Flow of Circular Channel = (Radius of Circular Open Channel^2)*(Half Angle by Water Surface in Circular Channel-((sin(2*Half Angle by Water Surface in Circular Channel))/2)). Here is an example- 1.733345 = (0.75^2)*(2.687-((sin(2*2.687))/2)).

How to calculate Area of Flow for Circular Channel?

With Radius of Circular Open Channel (R) & Half Angle by Water Surface in Circular Channel (θ) we can find Area of Flow for Circular Channel using the formula - Area of Flow of Circular Channel = (Radius of Circular Open Channel^2)*(Half Angle by Water Surface in Circular Channel-((sin(2*Half Angle by Water Surface in Circular Channel))/2)). This formula also uses Sine (sin) function(s).

Can the Area of Flow for Circular Channel be negative?

No, the Area of Flow for Circular Channel, measured in Area cannot be negative.

Which unit is used to measure Area of Flow for Circular Channel?

Area of Flow for Circular Channel is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Flow for Circular Channel can be measured.

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Area of Flow for Circular Channel Formula

Area of Flow for Circular Channel Example

Area of Flow for Circular Channel Solution

Area of Flow for Circular Channel Formula Elements

Other formulas in Flow in Open Channels category

How to Evaluate Area of Flow for Circular Channel?

FAQs on Area of Flow for Circular Channel

Variable Name