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

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
Lc = (100*d)/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
Lc = (100*d)/D --> (100*1.5707963267946)/1.0471975511964
Evaluating ... ...
Lc = 150
STEP 3: Convert Result to Output's Unit
150 Meter --> No Conversion Required
FINAL ANSWER
150 Meter <-- Length of Curve
(Calculation completed in 00.004 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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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 or Chord by Central Angle given Central Angle for Portion of Curve Formula

​LaTeX ​Go
Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
Lc = (100*d)/D

What is degree of curve?

Degree of curve is defined as the measure of curvature of a circular arc provided by the offsets to circular curves.

How to Calculate Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve?

Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve calculator uses Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve to calculate the Length of Curve, Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve is defined as the arc length in a chord by the central angle for a portion of the curve. Length of Curve is denoted by Lc symbol.

How to calculate Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve using this online calculator? To use this online calculator for Length of Curve or Chord by Central Angle 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 or Chord by Central Angle given Central Angle for Portion of Curve calculation can be explained with given input values -> 150 = (100*1.5707963267946)/1.0471975511964.

FAQ

What is Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve?
Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve is defined as the arc length in a chord by the central angle for a portion of the curve and is represented as Lc = (100*d)/D or Length of Curve = (100*Central Angle for Portion of Curve)/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 or Chord by Central Angle given Central Angle for Portion of Curve?
Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve is defined as the arc length in a chord by the central angle for a portion of the curve is calculated using Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve. To calculate Length of Curve or Chord by Central Angle 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 = (Central Angle for Portion of Curve*100)/Degree of Curve
  • Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
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