Degree of Curve for given Radius of Curve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)
D = (5729.578/Rc)*(pi/180)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Degree of Curve - (Measured in Radian) - Degree of Curve can be described as the angle of the road curve.
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.
STEP 1: Convert Input(s) to Base Unit
Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (5729.578/Rc)*(pi/180) --> (5729.578/130)*(pi/180)
Evaluating ... ...
D = 0.769230775767936
STEP 3: Convert Result to Output's Unit
0.769230775767936 Radian -->44.0736769230852 Degree (Check conversion here)
FINAL ANSWER
44.0736769230852 44.07368 Degree <-- Degree of Curve
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Warangal
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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

Degree of Curve for given Radius of Curve Formula

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

What is radius of circular curve?

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

What is length of curve?

Length of curve is defined as the length of curve (arc) determined by central angle in the offsets to circular curves.

How to Calculate Degree of Curve for given Radius of Curve?

Degree of Curve for given Radius of Curve calculator uses Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180) to calculate the Degree of Curve, Degree of Curve for given Radius of Curve (exact for arc definition, approximate for chord definition) can be defined as a measure of the curvature of a circular arc. Degree of Curve is denoted by D symbol.

How to calculate Degree of Curve for given Radius of Curve using this online calculator? To use this online calculator for Degree of Curve for given Radius of Curve, enter Radius of Circular Curve (Rc) and hit the calculate button. Here is how the Degree of Curve for given Radius of Curve calculation can be explained with given input values -> 2525.236 = (5729.578/130)*(pi/180).

FAQ

What is Degree of Curve for given Radius of Curve?
Degree of Curve for given Radius of Curve (exact for arc definition, approximate for chord definition) can be defined as a measure of the curvature of a circular arc and is represented as D = (5729.578/Rc)*(pi/180) or Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180). Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
How to calculate Degree of Curve for given Radius of Curve?
Degree of Curve for given Radius of Curve (exact for arc definition, approximate for chord definition) can be defined as a measure of the curvature of a circular arc is calculated using Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180). To calculate Degree of Curve for given Radius of Curve, you need Radius of Circular Curve (Rc). With our tool, you need to enter the respective value for Radius of Circular 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 Degree of Curve?
In this formula, Degree of Curve uses Radius of Circular Curve. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Degree of Curve = (100*Central Angle of Curve)/Length of Curve
  • Degree of Curve = (100*Central Angle for Portion of Curve)/Length of Curve
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