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Central Angle of Curve for given Length of Curve Formula

GoCentral Angle of Curve for given Tangent Distance Formula

GoCentral Angle of Curve for given Length of Long Chord Formula

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Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents. Check FAQs

I = \frac{L c \cdot D}{100}

I - Central Angle of Curve?L_c - Length of Curve?D - Degree of Curve?

Central Angle of Curve for given Length of Curve Example

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Here is how the Central Angle of Curve for given Length of Curve equation looks like with Values.

Here is how the Central Angle of Curve for given Length of Curve equation looks like with Units.

Here is how the Central Angle of Curve for given Length of Curve equation looks like.

84 = \frac{140 \cdot 60}{100}

84° = \frac{140m \cdot 60°}{100}

84 = \frac{140 \cdot 60}{100}

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Central Angle of Curve for given Length of Curve Solution

Follow our step by step solution on how to calculate Central Angle of Curve for given Length of Curve?

FIRST Step Consider the formula

I = \frac{L c \cdot D}{100}

Next Step Substitute values of Variables

∴

I = \frac{140m \cdot 60°}{100}

Next Step Convert Units

∴

I = \frac{140m \cdot 1.0472rad}{100}

Next Step Prepare to Evaluate

∴

I = \frac{140 \cdot 1.0472}{100}

Next Step Evaluate

∴

I = 1.46607657167496rad

Next Step Convert to Output's Unit

∴

I = 83.9999999999999°

LAST Step Rounding Answer

∴

I = 84°

Central Angle of Curve for given Length of Curve Formula Elements

Variables

Central Angle of Curve

Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

Symbol: I

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Central Angle of Curve

Length of Curve

Length of curve is defined as the arc length in a parabolic curves.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Degree of Curve

Degree of Curve can be described as the angle of the road curve.

Symbol: D

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Degree of Curve

Other Formulas to find Central Angle of Curve

Go Central Angle of Curve for given Tangent Distance

I = (\frac{T}{\sin (\frac{1}{2}) \cdot R c})

Go Central Angle of Curve for given Length of Long Chord

I = (\frac{C}{2 \cdot R c \cdot \sin (\frac{1}{2})})

Other formulas in Circular Curves on Highways and Roads category

Go Exact Tangent Distance

T = R c \cdot \tan (\frac{1}{2}) \cdot I

Go Degree of Curve for given Radius of Curve

D = (\frac{5729.578}{R c}) \cdot (\frac{π}{180})

Go Radius of Curve using Degree of Curve

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go External Distance

E = R c \cdot ((\sec (\frac{1}{2}) \cdot I \cdot (\frac{180}{π})) - 1)

How to Evaluate Central Angle of Curve for given Length of Curve?

Central Angle of Curve for given Length of Curve evaluator uses Central Angle of Curve = (Length of Curve*Degree of Curve)/100 to evaluate the Central Angle of Curve, Central Angle of Curve for given Length of Curve can be defined as the deflection angle between tangents at point of intersection of tangents. Central Angle of Curve is denoted by I symbol.

How to evaluate Central Angle of Curve for given Length of Curve using this online evaluator? To use this online evaluator for Central Angle of Curve for given Length of Curve, enter Length of Curve (L_c) & Degree of Curve (D) and hit the calculate button.

FAQs on Central Angle of Curve for given Length of Curve

What is the formula to find Central Angle of Curve for given Length of Curve?

The formula of Central Angle of Curve for given Length of Curve is expressed as Central Angle of Curve = (Length of Curve*Degree of Curve)/100. Here is an example- 4812.845 = (140*1.0471975511964)/100.

How to calculate Central Angle of Curve for given Length of Curve?

With Length of Curve (L_c) & Degree of Curve (D) we can find Central Angle of Curve for given Length of Curve using the formula - Central Angle of Curve = (Length of Curve*Degree of Curve)/100.

What are the other ways to Calculate Central Angle of Curve?

Here are the different ways to Calculate Central Angle of Curve-

Central Angle of Curve=(Tangent Distance/(sin(1/2)*Radius of Circular Curve))
Central Angle of Curve=(Length of long Chord/(2*Radius of Circular Curve*sin(1/2)))

Can the Central Angle of Curve for given Length of Curve be negative?

Yes, the Central Angle of Curve for given Length of Curve, measured in Angle can be negative.

Which unit is used to measure Central Angle of Curve for given Length of Curve?

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

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