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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

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{π}) \cdot θ Angle - \sin (θ Angle) \cdot ({d section}^{2}))

A_w(cir) - Wetted Surface Area of Circular Channel?θ_Angle - Subtended Angle in Radians?d_section - Diameter of Section?π - Archimedes' constant?

Wetted Area for Circle Example

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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.

0.2213 = (\frac{1}{8}) \cdot ((\frac{180}{3.1416}) \cdot 3.14 - \sin (3.14) \cdot (5^{2}))

0.2213m² = (\frac{1}{8}) \cdot ((\frac{180}{3.1416}) \cdot 3.14° - \sin (3.14°) \cdot ({5m}^{2}))

0.2213 = (\frac{1}{8}) \cdot ((\frac{180}{3.1416}) \cdot 3.14 - \sin (3.14) \cdot (5^{2}))

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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

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{π}) \cdot θ Angle - \sin (θ Angle) \cdot ({d section}^{2}))

Next Step Substitute values of Variables

∴

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{π}) \cdot 3.14° - \sin (3.14°) \cdot ({5m}^{2}))

Next Step Substitute values of Constants

∴

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{3.1416}) \cdot 3.14° - \sin (3.14°) \cdot ({5m}^{2}))

Next Step Convert Units

∴

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{3.1416}) \cdot 0.0548rad - \sin (0.0548rad) \cdot ({5m}^{2}))

Next Step Prepare to Evaluate

∴

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{3.1416}) \cdot 0.0548 - \sin (0.0548) \cdot (5^{2}))

Next Step Evaluate

∴

A w(cir) = 0.221325281707978m²

LAST Step Rounding Answer

∴

A w(cir) = 0.2213m²

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: A_w(cir)

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wetted Surface Area of Circular Channel

Subtended Angle in Radians

Subtended Angle in Radians is the angle made by something from a given viewpoint.

Symbol: θ_Angle

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Subtended Angle in Radians

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: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

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

d section = \sqrt{\frac{(\frac{180}{π}) \cdot (θ Angle) - (8 \cdot A w(cir))}{\sin (θ Angle)}}

Go Diameter of Section given Wetted Perimeter

d section = \frac{p}{0.5 \cdot θ Angle \cdot (\frac{180}{π})}

Go Angle of Sector given Wetted Perimeter

θ Angle = \frac{p}{0.5 \cdot d section} \cdot (\frac{π}{180})

Go Wetted Perimeter for circle

p = 0.5 \cdot θ Angle \cdot d section \cdot \frac{180}{π}

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 A_w(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 (θ_Angle) & Diameter of Section (d_section) 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 (θ_Angle) & Diameter of Section (d_section) 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 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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Wetted Area for Circle Formula

Wetted Area for Circle Example

Wetted Area for Circle Solution

Wetted Area for Circle Formula Elements

Other formulas in Geometrical Properties of Circular Channel Section category

How to Evaluate Wetted Area for Circle?

FAQs on Wetted Area for Circle

Variable Name