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Hydraulic Depth of Circle Formula

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Hydraulic Depth of Circular Channel is defined as depth which in contact with water. Check FAQs

D cir = (d section \cdot 0.125) \cdot ((\frac{180}{π}) \cdot θ Angle - \frac{\sin (θ Angle)}{\sin (\frac{θ Angle}{2})})

D_cir - Hydraulic Depth of Circular Channel?d_section - Diameter of Section?θ_Angle - Subtended Angle in Radians?π - Archimedes' constant?

Hydraulic Depth of Circle Example

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Here is how the Hydraulic Depth of Circle equation looks like with Values.

Here is how the Hydraulic Depth of Circle equation looks like with Units.

Here is how the Hydraulic Depth of Circle equation looks like.

0.713 = (5 \cdot 0.125) \cdot ((\frac{180}{3.1416}) \cdot 3.14 - \frac{\sin (3.14)}{\sin (\frac{3.14}{2})})

0.713m = (5m \cdot 0.125) \cdot ((\frac{180}{3.1416}) \cdot 3.14° - \frac{\sin (3.14°)}{\sin (\frac{3.14°}{2})})

0.713 = (5 \cdot 0.125) \cdot ((\frac{180}{3.1416}) \cdot 3.14 - \frac{\sin (3.14)}{\sin (\frac{3.14}{2})})

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Hydraulic Depth of Circle Solution

Follow our step by step solution on how to calculate Hydraulic Depth of Circle?

FIRST Step Consider the formula

D cir = (d section \cdot 0.125) \cdot ((\frac{180}{π}) \cdot θ Angle - \frac{\sin (θ Angle)}{\sin (\frac{θ Angle}{2})})

Next Step Substitute values of Variables

∴

D cir = (5m \cdot 0.125) \cdot ((\frac{180}{π}) \cdot 3.14° - \frac{\sin (3.14°)}{\sin (\frac{3.14°}{2})})

Next Step Substitute values of Constants

∴

D cir = (5m \cdot 0.125) \cdot ((\frac{180}{3.1416}) \cdot 3.14° - \frac{\sin (3.14°)}{\sin (\frac{3.14°}{2})})

Next Step Convert Units

∴

D cir = (5m \cdot 0.125) \cdot ((\frac{180}{3.1416}) \cdot 0.0548rad - \frac{\sin (0.0548rad)}{\sin (\frac{0.0548rad}{2})})

Next Step Prepare to Evaluate

∴

D cir = (5 \cdot 0.125) \cdot ((\frac{180}{3.1416}) \cdot 0.0548 - \frac{\sin (0.0548)}{\sin (\frac{0.0548}{2})})

Next Step Evaluate

∴

D cir = 0.7129692528107m

LAST Step Rounding Answer

∴

D cir = 0.713m

Hydraulic Depth of Circle Formula Elements

Variables

Constants

Functions

Hydraulic Depth of Circular Channel

Hydraulic Depth of Circular Channel is defined as depth which in contact with water.

Symbol: D_cir

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Depth of Circular Channel

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

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

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 Wetted Area for Circle

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

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})

How to Evaluate Hydraulic Depth of Circle?

Hydraulic Depth of Circle evaluator uses Hydraulic Depth of Circular Channel = (Diameter of Section*0.125)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)) to evaluate the Hydraulic Depth of Circular Channel, The Hydraulic Depth of Circle formula is defined as ratio of wetted area to that of top width of section at any point in channel. Hydraulic Depth of Circular Channel is denoted by D_cir symbol.

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

FAQs on Hydraulic Depth of Circle

What is the formula to find Hydraulic Depth of Circle?

The formula of Hydraulic Depth of Circle is expressed as Hydraulic Depth of Circular Channel = (Diameter of Section*0.125)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)). Here is an example- 0.712969 = (5*0.125)*((180/pi)*0.0548033385126116-sin(0.0548033385126116)/sin(0.0548033385126116/2)).

How to calculate Hydraulic Depth of Circle?

With Diameter of Section (d_section) & Subtended Angle in Radians (θ_Angle) we can find Hydraulic Depth of Circle using the formula - Hydraulic Depth of Circular Channel = (Diameter of Section*0.125)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)). This formula also uses Archimedes' constant and Sine function(s).

Can the Hydraulic Depth of Circle be negative?

No, the Hydraulic Depth of Circle, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Depth of Circle?

Hydraulic Depth of Circle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Depth of Circle can be measured.

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Hydraulic Depth of Circle Formula

Hydraulic Depth of Circle Example

Hydraulic Depth of Circle Solution

Hydraulic Depth of Circle Formula Elements

Other formulas in Geometrical Properties of Circular Channel Section category

How to Evaluate Hydraulic Depth of Circle?

FAQs on Hydraulic Depth of Circle

Variable Name