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Central Angle of Curve for given Tangent Distance Formula

GoCentral Angle of Curve for given Length of Long Chord Formula

GoCentral Angle of Curve for given Length of Curve 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{T}{\sin (\frac{1}{2}) \cdot R c})

I - Central Angle of Curve?T - Tangent Distance?R_c - Radius of Circular Curve?

Central Angle of Curve for given Tangent Distance Example

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

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

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

45.579 = (\frac{49.58}{\sin (\frac{1}{2}) \cdot 130})

45.579° = (\frac{49.58m}{\sin (\frac{1}{2}) \cdot 130m})

45.579 = (\frac{49.58}{\sin (\frac{1}{2}) \cdot 130})

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Central Angle of Curve for given Tangent Distance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = (\frac{49.58m}{\sin (\frac{1}{2}) \cdot 130m})

Next Step Prepare to Evaluate

∴

I = (\frac{49.58}{\sin (\frac{1}{2}) \cdot 130})

Next Step Evaluate

∴

I = 0.795503336128018rad

Next Step Convert to Output's Unit

∴

I = 45.5789837487209°

LAST Step Rounding Answer

∴

I = 45.579°

Central Angle of Curve for given Tangent Distance Formula Elements

Variables

Functions

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

Tangent Distance

Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature.

Symbol: T

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Tangent Distance

Radius of Circular Curve

Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Curve

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 to find Central Angle of Curve

Go Central Angle of Curve for given Length of Long Chord

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

Go Central Angle of Curve for given Length of Curve

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

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 Tangent Distance?

Central Angle of Curve for given Tangent Distance evaluator uses Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve)) to evaluate the Central Angle of Curve, The Central Angle of Curve for given Tangent Distance is the angle formed by two radii drawn from the center of the circle to the point of curvature. Central Angle of Curve is denoted by I symbol.

How to evaluate Central Angle of Curve for given Tangent Distance using this online evaluator? To use this online evaluator for Central Angle of Curve for given Tangent Distance, enter Tangent Distance (T) & Radius of Circular Curve (R_c) and hit the calculate button.

FAQs on Central Angle of Curve for given Tangent Distance

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

The formula of Central Angle of Curve for given Tangent Distance is expressed as Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve)). Here is an example- 2528.261 = (49.58/(sin(1/2)*130)).

How to calculate Central Angle of Curve for given Tangent Distance?

With Tangent Distance (T) & Radius of Circular Curve (R_c) we can find Central Angle of Curve for given Tangent Distance using the formula - Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve)). This formula also uses Sine function(s).

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=(Length of long Chord/(2*Radius of Circular Curve*sin(1/2)))
Central Angle of Curve=(Length of Curve*Degree of Curve)/100

Can the Central Angle of Curve for given Tangent Distance be negative?

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

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

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

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