Central Angle for Portion of Curve Exact for Arc definition Calculator

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

✖Central Angle for Portion of Curve can be described as the angle between the two radii.ⓘ Central Angle for Portion of Curve Exact for Arc definition [d]

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Formula

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Central Angle for Portion of Curve Exact for Arc definition

Formula

`"d" = ("D"*"L"_{"c"})/100`

Example

`"84°"= ("60°"*"140m")/100`

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Download Circular Curves on Highways and Roads Formulas PDF

Central Angle for Portion of Curve Exact for Arc definition Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Central Angle for Portion of Curve - (Measured in Radian) - Central Angle for Portion of Curve can be described as the angle between the two radii.
Degree of Curve - (Measured in Radian) - Degree of Curve can be described as the angle of the road curve.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

d = 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 for Portion of Curve

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Warangal

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< 25 Circular Curves on Highways and Roads Calculators

Radius of Curve using External Distance

Go Radius of Circular Curve = External Distance/((sec(1/2)*(Central Angle of Curve*(180/pi)))-1)

External Distance

Go External Distance = Radius of Circular Curve*((sec(1/2)*Central Angle of Curve*(180/pi))-1)

Central Angle of Curve for given Length of Long Chord

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

Radius of Curve given Length of Long Chord

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

Length of Long Chord

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

Central Angle of Curve for given Tangent Distance

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

Radius of Curve using Tangent Distance

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

Radius of Curve using Midordinate

Go Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))

Exact Tangent Distance

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

Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length

Go Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)

Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length

Go Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)

Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve

Go Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve

Central angle for Portion of Curve Approximate for Chord definition

Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100

Central Angle for Portion of Curve Exact for Arc definition

Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100

Length of Curve given Central Angle for portion of Curve

Go Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve

Degree of Curve when Central Angle for Portion of Curve

Go Degree of Curve = (100*Central Angle for Portion of Curve)/Length of Curve

Tangent Offset for Chord of Length

Go Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)

Degree of Curve for given Radius of Curve

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

Radius of Curve

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

Central Angle of Curve for given Length of Curve

Go Central Angle of Curve = (Length of Curve*Degree of Curve)/100

Degree of Curve for given Length of Curve

Go Degree of Curve = (100*Central Angle of Curve)/Length of Curve

Exact Length of Curve

Go Length of Curve = (100*Central Angle of Curve)/Degree of Curve

Radius of Curve using Degree of Curve

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

Radius of Curve Exact for Chord

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

Approximate Chord Offset for Chord of Length

Go Chord Offset = Length of Curve^2/Radius of Circular Curve

Central Angle for Portion of Curve Exact for Arc definition Formula

Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
d = (D*L_c)/100

What is length of curve?

Length of curve is defined as the length of curve (arc) determined by central angle in the offsets to circular curves.

What is radius of curvature of a curve?

The radius of curvature at a point on a curve is, loosely speaking, the radius of a circle which fits the curve most snugly at that point.

How to Calculate Central Angle for Portion of Curve Exact for Arc definition?

Central Angle for Portion of Curve Exact for Arc definition calculator uses Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100 to calculate the Central Angle for Portion of Curve, Central Angle for Portion of Curve Exact for Arc definition is defined as the central angle for the offsets to circular curves. Central Angle for Portion of Curve is denoted by d symbol.

How to calculate Central Angle for Portion of Curve Exact for Arc definition using this online calculator? To use this online calculator for Central Angle for Portion of Curve Exact for Arc definition, enter Degree of Curve (D) & Length of Curve (L_c) and hit the calculate button. Here is how the Central Angle for Portion of Curve Exact for Arc definition calculation can be explained with given input values -> 4812.845 = (1.0471975511964*140)/100.

FAQ

What is Central Angle for Portion of Curve Exact for Arc definition?

Central Angle for Portion of Curve Exact for Arc definition is defined as the central angle for the offsets to circular curves and is represented as d = (D*L_c)/100 or Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100. Degree of Curve can be described as the angle of the road curve & Length of curve is defined as the arc length in a parabolic curves.

How to calculate Central Angle for Portion of Curve Exact for Arc definition?

Central Angle for Portion of Curve Exact for Arc definition is defined as the central angle for the offsets to circular curves is calculated using Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100. To calculate Central Angle for Portion of Curve Exact for Arc definition, you need Degree of Curve (D) & Length of Curve (L_c). With our tool, you need to enter the respective value for Degree of Curve & Length 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 for Portion of Curve?

In this formula, Central Angle for Portion of Curve uses Degree of Curve & Length of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100

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