Radius of Curve given Length of Long Chord Calculator

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

✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve given Length of Long Chord [R_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Circular Curves on Highways and Roads Formulas PDF PDF Image

Radius of Curve given Length of Long Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Length of long Chord: 101 Meter --> 101 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

R_c = C/(2*sin(1/2)*(I)) --> 101/(2*sin(1/2)*(0.698131700797601))

Evaluating ... ...

R_c = 150.880409595781

STEP 3: Convert Result to Output's Unit

150.880409595781 Meter --> No Conversion Required

FINAL ANSWER

150.880409595781 ≈ 150.8804 Meter <-- Radius of Circular Curve

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Highway Engineering » Highway and Road » Circular Curves on Highways and Roads » Radius of Curve given Length of Long Chord

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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))

Radius of Curve given Length of Long Chord Formula

LaTeX Go

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

What is meant by length of long chord?

Length of long chord is defined as the distance from point of curvature to point of tangency, end of curve.

How to Calculate Radius of Curve given Length of Long Chord?

Radius of Curve given Length of Long Chord calculator uses Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve)) to calculate the Radius of Circular Curve, The Radius of Curve given Length of Long Chord can be defined as the absolute value of the reciprocal of the curvature at a point on a curve. Radius of Circular Curve is denoted by R_c symbol.

How to calculate Radius of Curve given Length of Long Chord using this online calculator? To use this online calculator for Radius of Curve given Length of Long Chord, enter Length of long Chord (C) & Central Angle of Curve (I) and hit the calculate button. Here is how the Radius of Curve given Length of Long Chord calculation can be explained with given input values -> 150.8804 = 101/(2*sin(1/2)*(0.698131700797601)).

FAQ

What is Radius of Curve given Length of Long Chord?

The Radius of Curve given Length of Long Chord can be defined as the absolute value of the reciprocal of the curvature at a point on a curve and is represented as R_c = C/(2*sin(1/2)*(I)) or Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve)). Length of long chord can be described as the distance from point of curvature to point of tangency & Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

How to calculate Radius of Curve given Length of Long Chord?

The Radius of Curve given Length of Long Chord can be defined as the absolute value of the reciprocal of the curvature at a point on a curve is calculated using Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve)). To calculate Radius of Curve given Length of Long Chord, you need Length of long Chord (C) & Central Angle of Curve (I). With our tool, you need to enter the respective value for Length of long Chord & 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.

How many ways are there to calculate Radius of Circular Curve?

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

Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))

Home

FREE PDFs

🔍 Search