Central Angle of Curve for given Length of Curve Calculator

✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve [L_c]			+10% -10%
✖Degree of Curve can be described as the angle of the road curve.ⓘ Degree of Curve [D]			+10% -10%

✖Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.ⓘ Central Angle of Curve for given Length of Curve [I]

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Formula

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Central Angle of Curve for given Length of Curve

Formula

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

Example

84 ° = \frac{140 m \cdot 60 °}{100}

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Central Angle of Curve for given Length of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Angle of Curve = (Length of Curve*Degree of Curve)/100
I = (L_c*D)/100
This formula uses 3 Variables

Variables Used

Central Angle of Curve - (Measured in Radian) - Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Degree of Curve - (Measured in Radian) - Degree of Curve can be described as the angle of the road curve.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Degree of Curve: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (L_c*D)/100 --> (140*1.0471975511964)/100

Evaluating ... ...

I = 1.46607657167496

STEP 3: Convert Result to Output's Unit

1.46607657167496 Radian -->83.9999999999999 Degree (Check conversion here)

FINAL ANSWER

83.9999999999999 ≈ 84 Degree <-- Central Angle of Curve

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute Of Technology (NIT), Hamirpur

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< Circular Curves on Highways and Roads Calculators

Central Angle of Curve for given Tangent Distance

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

Exact Tangent Distance

Go Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve

Degree of Curve for given Radius of Curve

Go Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)

Radius of Curve using Degree of Curve

Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))

Central Angle of Curve for given Length of Curve Formula

Central Angle of Curve = (Length of Curve*Degree of Curve)/100
I = (L_c*D)/100

What is length of curve?

Length of curve can be defined as the distance from point of curvature, beginning of curve to point of tangency, end of curve

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

Central Angle of Curve for given Length of Curve calculator uses Central Angle of Curve = (Length of Curve*Degree of Curve)/100 to calculate 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 calculate Central Angle of Curve for given Length of Curve using this online calculator? To use this online calculator 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. Here is how the Central Angle of Curve for given Length of Curve calculation can be explained with given input values -> 4812.845 = (140*1.0471975511964)/100.

FAQ

What is Central Angle of Curve for given Length 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 and is represented as I = (L_c*D)/100 or Central Angle of Curve = (Length of Curve*Degree of Curve)/100. Length of curve is defined as the arc length in a parabolic curves & Degree of Curve can be described as the angle of the road curve.

How to calculate Central Angle of Curve for given Length 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 is calculated using Central Angle of Curve = (Length of Curve*Degree of Curve)/100. To calculate Central Angle of Curve for given Length of Curve, you need Length of Curve (L_c) & Degree of Curve (D). With our tool, you need to enter the respective value for Length of Curve & Degree of Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Central Angle of Curve?

In this formula, Central Angle of Curve uses Length of Curve & Degree of Curve. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))

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