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Angle of Sector given Top Width Formula

GoAngle of Sector given Wetted Perimeter Formula

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

θ Angle = 2 \cdot a \sin ((\frac{T cir}{d section}))

θ_Angle - Subtended Angle in Radians?T_cir - Top Width of Circular Channel?d_section - Diameter of Section?

Angle of Sector given Top Width Example

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Here is how the Angle of Sector given Top Width equation looks like with Values.

Here is how the Angle of Sector given Top Width equation looks like with Units.

Here is how the Angle of Sector given Top Width equation looks like.

3.1402 = 2 \cdot a \sin ((\frac{0.137}{5}))

3.1402° = 2 \cdot a \sin ((\frac{0.137m}{5m}))

3.1402 = 2 \cdot a \sin ((\frac{0.137}{5}))

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Angle of Sector given Top Width Solution

Follow our step by step solution on how to calculate Angle of Sector given Top Width?

FIRST Step Consider the formula

θ Angle = 2 \cdot a \sin ((\frac{T cir}{d section}))

Next Step Substitute values of Variables

∴

θ Angle = 2 \cdot a \sin ((\frac{0.137m}{5m}))

Next Step Prepare to Evaluate

∴

θ Angle = 2 \cdot a \sin ((\frac{0.137}{5}))

Next Step Evaluate

∴

θ Angle = 0.0548068592589319rad

Next Step Convert to Output's Unit

∴

θ Angle = 3.14020172390489°

LAST Step Rounding Answer

∴

θ Angle = 3.1402°

Angle of Sector given Top Width Formula Elements

Variables

Functions

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

Top Width of Circular Channel

Top Width of Circular Channel is defined as width at top of section.

Symbol: T_cir

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width 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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other Formulas to find Subtended Angle in Radians

Go Angle of Sector given Wetted Perimeter

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

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 Wetted Perimeter for circle

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

How to Evaluate Angle of Sector given Top Width?

Angle of Sector given Top Width evaluator uses Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section)) to evaluate the Subtended Angle in Radians, Angle of Sector given Top Width formula is defined as The angle formed by two radii of a circle, where the length of the arc between them equals the top width of the sector. Subtended Angle in Radians is denoted by θ_Angle symbol.

How to evaluate Angle of Sector given Top Width using this online evaluator? To use this online evaluator for Angle of Sector given Top Width, enter Top Width of Circular Channel (T_cir) & Diameter of Section (d_section) and hit the calculate button.

FAQs on Angle of Sector given Top Width

What is the formula to find Angle of Sector given Top Width?

The formula of Angle of Sector given Top Width is expressed as Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section)). Here is an example- 179.9203 = 2*asin((0.137/5)).

How to calculate Angle of Sector given Top Width?

With Top Width of Circular Channel (T_cir) & Diameter of Section (d_section) we can find Angle of Sector given Top Width using the formula - Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section)). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

What are the other ways to Calculate Subtended Angle in Radians?

Here are the different ways to Calculate Subtended Angle in Radians-

Subtended Angle in Radians=Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180)

Can the Angle of Sector given Top Width be negative?

No, the Angle of Sector given Top Width, measured in Angle cannot be negative.

Which unit is used to measure Angle of Sector given Top Width?

Angle of Sector given Top Width is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Sector given Top Width can be measured.

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Angle of Sector given Top Width Formula

​GoAngle of Sector given Wetted Perimeter Formula

Angle of Sector given Top Width Example

Angle of Sector given Top Width Solution

Angle of Sector given Top Width Formula Elements

Other Formulas to find Subtended Angle in Radians

Other formulas in Geometrical Properties of Circular Channel Section category

How to Evaluate Angle of Sector given Top Width?

FAQs on Angle of Sector given Top Width

Variable Name

GoAngle of Sector given Wetted Perimeter Formula