Wetted Area for Circle Formula

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Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water. Check FAQs
Aw(cir)=(18)((180π)θAngle-sin(θAngle)(dsection2))
Aw(cir) - Wetted Surface Area of Circular Channel?θAngle - Subtended Angle in Radians?dsection - Diameter of Section?π - Archimedes' constant?

Wetted Area for Circle Example

With values
With units
Only example

Here is how the Wetted Area for Circle equation looks like with Values.

Here is how the Wetted Area for Circle equation looks like with Units.

Here is how the Wetted Area for Circle equation looks like.

0.2213Edit=(18)((1803.1416)3.14Edit-sin(3.14Edit)(5Edit2))
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Wetted Area for Circle Solution

Follow our step by step solution on how to calculate Wetted Area for Circle?

FIRST Step Consider the formula
Aw(cir)=(18)((180π)θAngle-sin(θAngle)(dsection2))
Next Step Substitute values of Variables
Aw(cir)=(18)((180π)3.14°-sin(3.14°)(5m2))
Next Step Substitute values of Constants
Aw(cir)=(18)((1803.1416)3.14°-sin(3.14°)(5m2))
Next Step Convert Units
Aw(cir)=(18)((1803.1416)0.0548rad-sin(0.0548rad)(5m2))
Next Step Prepare to Evaluate
Aw(cir)=(18)((1803.1416)0.0548-sin(0.0548)(52))
Next Step Evaluate
Aw(cir)=0.221325281707978
LAST Step Rounding Answer
Aw(cir)=0.2213

Wetted Area for Circle Formula Elements

Variables
Constants
Functions
Wetted Surface Area of Circular Channel
Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water.
Symbol: Aw(cir)
Measurement: AreaUnit:
Note: Value should be greater than 0.
Subtended Angle in Radians
Subtended Angle in Radians is the angle made by something from a given viewpoint.
Symbol: θAngle
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Diameter of Section
The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Symbol: dsection
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
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 Geometrical Properties of Circular Channel Section category

​Go Diameter of Section given Wetted Area
dsection=(180π)(θAngle)-(8Aw(cir))sin(θAngle)
​Go Diameter of Section given Wetted Perimeter
dsection=p0.5θAngle(180π)
​Go Angle of Sector given Wetted Perimeter
θAngle=p0.5dsection(π180)
​Go Wetted Perimeter for circle
p=0.5θAngledsection180π

How to Evaluate Wetted Area for Circle?

Wetted Area for Circle evaluator uses Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2)) to evaluate the Wetted Surface Area of Circular Channel, The Wetted Area for Circle is defined as area of contact with water in the channel at any point in the section of channel. Wetted Surface Area of Circular Channel is denoted by Aw(cir) symbol.

How to evaluate Wetted Area for Circle using this online evaluator? To use this online evaluator for Wetted Area for Circle, enter Subtended Angle in Radians Angle) & Diameter of Section (dsection) and hit the calculate button.

FAQs on Wetted Area for Circle

What is the formula to find Wetted Area for Circle?
The formula of Wetted Area for Circle is expressed as Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2)). Here is an example- 0.221325 = (1/8)*((180/pi)*0.0548033385126116-sin(0.0548033385126116)*(5^2)).
How to calculate Wetted Area for Circle?
With Subtended Angle in Radians Angle) & Diameter of Section (dsection) we can find Wetted Area for Circle using the formula - Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2)). This formula also uses Archimedes' constant and Sine (sin) function(s).
Can the Wetted Area for Circle be negative?
No, the Wetted Area for Circle, measured in Area cannot be negative.
Which unit is used to measure Wetted Area for Circle?
Wetted Area for Circle 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 Wetted Area for Circle can be measured.
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