Radius of Curve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Rc = 5729.578/(D*(180/pi))
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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
Degree of Curve: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rc = 5729.578/(D*(180/pi)) --> 5729.578/(1.0471975511964*(180/pi))
Evaluating ... ...
Rc = 95.4929666666847
STEP 3: Convert Result to Output's Unit
95.4929666666847 Meter --> No Conversion Required
FINAL ANSWER
95.4929666666847 95.49297 Meter <-- Radius of Circular Curve
(Calculation completed in 00.020 seconds)

Credits

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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25 Circular Curves on Highways and Roads Calculators

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

Radius of Curve Formula

Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Rc = 5729.578/(D*(180/pi))

How to calculate radius of curve?

Radius of curve can be calculated in exact and approximate method by using the emperical formulas obtained from the roads

How to Calculate Radius of Curve?

Radius of Curve calculator uses Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi)) to calculate the Radius of Circular Curve, Radius of Curve is defined as the radius of the curve obtained from the road. Radius of Circular Curve is denoted by Rc symbol.

How to calculate Radius of Curve using this online calculator? To use this online calculator for Radius of Curve, enter Degree of Curve (D) and hit the calculate button. Here is how the Radius of Curve calculation can be explained with given input values -> 95.49297 = 5729.578/(1.0471975511964*(180/pi)).

FAQ

What is Radius of Curve?
Radius of Curve is defined as the radius of the curve obtained from the road and is represented as Rc = 5729.578/(D*(180/pi)) or Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi)). Degree of Curve can be described as the angle of the road curve.
How to calculate Radius of Curve?
Radius of Curve is defined as the radius of the curve obtained from the road is calculated using Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi)). To calculate Radius of Curve, you need Degree of Curve (D). With our tool, you need to enter the respective value for 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 Radius of Circular Curve?
In this formula, Radius of Circular Curve uses Degree of Curve. We can use 8 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 = 50/(sin(1/2)*(Degree of Curve))
  • Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve))
  • Radius of Circular Curve = External Distance/((sec(1/2)*(Central Angle of Curve*(180/pi)))-1)
  • Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
  • Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve))
  • Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset)
  • Radius of Circular Curve = Length of Curve^2/Chord Offset
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