Exact Length of Curve Calculator

✖Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.ⓘ Central Angle of Curve [I]			+10% -10%
✖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.ⓘ Exact Length of Curve [L_c]

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Exact Length of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
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.
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

Central Angle of Curve: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Degree of Curve: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = (100*I)/D --> (100*0.698131700797601)/1.0471975511964

Evaluating ... ...

L_c = 66.6666666666668

STEP 3: Convert Result to Output's Unit

66.6666666666668 Meter --> No Conversion Required

FINAL ANSWER

66.6666666666668 ≈ 66.66667 Meter <-- Length 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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Verified by Anshika Arya

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

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

Exact Tangent Distance

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

Degree of Curve for given Radius of Curve

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

Radius of Curve using Degree of Curve

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

Exact Length of Curve Formula

LaTeX Go

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

What is central angle of curve?

Central angle of curve is defined as the deflection angle between tangents at point of curvature, beginning of curve.

How to Calculate Exact Length of Curve?

Exact Length of Curve calculator uses Length of Curve = (100*Central Angle of Curve)/Degree of Curve to calculate the Length of Curve, Exact Length of Curve is defined as the length of the curve from point of curvature, the beginning of a curve to point of the tangency, the end of curve. Length of Curve is denoted by L_c symbol.

How to calculate Exact Length of Curve using this online calculator? To use this online calculator for Exact Length of Curve, enter Central Angle of Curve (I) & Degree of Curve (D) and hit the calculate button. Here is how the Exact Length of Curve calculation can be explained with given input values -> 66.66667 = (100*0.698131700797601)/1.0471975511964.

FAQ

What is Exact Length of Curve?

Exact Length of Curve is defined as the length of the curve from point of curvature, the beginning of a curve to point of the tangency, the end of curve and is represented as L_c = (100*I)/D or Length of Curve = (100*Central Angle of Curve)/Degree of Curve. Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents & Degree of Curve can be described as the angle of the road curve.

How to calculate Exact Length of Curve?

Exact Length of Curve is defined as the length of the curve from point of curvature, the beginning of a curve to point of the tangency, the end of curve is calculated using Length of Curve = (100*Central Angle of Curve)/Degree of Curve. To calculate Exact Length of Curve, you need Central Angle of Curve (I) & Degree of Curve (D). With our tool, you need to enter the respective value for Central Angle 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 Length of Curve?

In this formula, Length of Curve uses Central Angle of Curve & Degree of Curve. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve
Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)

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