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*Rc*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*Rc*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)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

Length of Long Chord Formula

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