Length of Long Chord Calculator

✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Circular Curve [R_c]			+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 [I]			+10% -10%

✖Length of long chord can be described as the distance from point of curvature to point of tangency.ⓘ Length of Long Chord [C]

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Length of Long Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve))
C = 2*R_c*sin((1/2)*(I))
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Length of long Chord - (Measured in Meter) - Length of long chord can be described as the distance from point of curvature to point of tangency.
Radius of Circular Curve - (Measured in Meter) - Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required
Central Angle of Curve: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = 2*R_c*sin((1/2)*(I)) --> 2*130*sin((1/2)*(0.698131700797601))

Evaluating ... ...

C = 88.9252372646579

STEP 3: Convert Result to Output's Unit

88.9252372646579 Meter --> No Conversion Required

FINAL ANSWER

88.9252372646579 ≈ 88.92524 Meter <-- Length of long Chord

(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))

Length of Long Chord Formula

LaTeX Go

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

What is radius of circular curve?.

Radius of circular curve can be defined as the absolute value of the reciprocal of the curvature at a point on a curve.

How to Calculate Length of Long Chord?

Length of Long Chord calculator uses Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve)) to calculate the Length of long Chord, Length of Long Chord is defined as the length from point of curvature to point of tangency. Length of long Chord is denoted by C symbol.

How to calculate Length of Long Chord using this online calculator? To use this online calculator for Length of Long Chord, enter Radius of Circular Curve (R_c) & Central Angle of Curve (I) and hit the calculate button. Here is how the Length of Long Chord calculation can be explained with given input values -> 88.92524 = 2*130*sin((1/2)*(0.698131700797601)).

FAQ

What is Length of Long Chord?

Length of Long Chord is defined as the length from point of curvature to point of tangency and is represented as C = 2*R_c*sin((1/2)*(I)) or Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve)). Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration & Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

How to calculate Length of Long Chord?

Length of Long Chord is defined as the length from point of curvature to point of tangency is calculated using Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve)). To calculate Length of Long Chord, you need Radius of Circular Curve (R_c) & Central Angle of Curve (I). With our tool, you need to enter the respective value for Radius of Circular Curve & Central Angle of Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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