Length of Curve given Central Angle for portion of Curve Calculator

✖Central Angle for Portion of Curve can be described as the angle between the two radii.ⓘ Central Angle for Portion of Curve [d]			+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.ⓘ Length of Curve given Central Angle for portion of Curve [L_c]

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Length of Curve given Central Angle for portion of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Central Angle for Portion of Curve: 90 Degree --> 1.5707963267946 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 = (d*100)/D --> (1.5707963267946*100)/1.0471975511964

Evaluating ... ...

L_c = 150

STEP 3: Convert Result to Output's Unit

150 Meter --> No Conversion Required

FINAL ANSWER

150 Meter <-- Length of Curve

(Calculation completed in 00.006 seconds)

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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))

Length of Curve given Central Angle for portion of Curve Formula

LaTeX Go

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

What is central angle?

Central angle of curve is defined as the central angle for portion of curve in the offsets to circular curves.

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

Length of Curve given Central Angle for portion of Curve calculator uses Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve to calculate the Length of Curve, The Length of Curve given Central Angle for portion of Curve can be defined as the length of a curve (arc) determined by the central angle. Length of Curve is denoted by L_c symbol.

How to calculate Length of Curve given Central Angle for portion of Curve using this online calculator? To use this online calculator for Length of Curve given Central Angle for portion of Curve, enter Central Angle for Portion of Curve (d) & Degree of Curve (D) and hit the calculate button. Here is how the Length of Curve given Central Angle for portion of Curve calculation can be explained with given input values -> 150 = (1.5707963267946*100)/1.0471975511964.

FAQ

What is Length of Curve given Central Angle for portion of Curve?

The Length of Curve given Central Angle for portion of Curve can be defined as the length of a curve (arc) determined by the central angle and is represented as L_c = (d*100)/D or Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve. Central Angle for Portion of Curve can be described as the angle between the two radii & Degree of Curve can be described as the angle of the road curve.

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

The Length of Curve given Central Angle for portion of Curve can be defined as the length of a curve (arc) determined by the central angle is calculated using Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve. To calculate Length of Curve given Central Angle for portion of Curve, you need Central Angle for Portion of Curve (d) & Degree of Curve (D). With our tool, you need to enter the respective value for Central Angle for Portion 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 for Portion of Curve & Degree of Curve. We can use 3 other way(s) to calculate the same, which is/are as follows -

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