Radius of Curve using Degree of Curve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Rc = 50/(sin(1/2)*(D))
This formula uses 1 Functions, 2 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.
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 = 50/(sin(1/2)*(D)) --> 50/(sin(1/2)*(1.0471975511964))
Evaluating ... ...
Rc = 99.5910294361591
STEP 3: Convert Result to Output's Unit
99.5910294361591 Meter --> No Conversion Required
FINAL ANSWER
99.5910294361591 99.59103 Meter <-- Radius of Circular Curve
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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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 using Degree of Curve Formula

Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Rc = 50/(sin(1/2)*(D))

What is radius of curve?

Radius of curve can be 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 Radius of Curve using Degree of Curve?

Radius of Curve using Degree of Curve calculator uses Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve)) to calculate the Radius of Circular Curve, The Radius of curve using degree of curve (exact for chord definition) can be defined as the central angle to the ends of an arc or chord of agreed length. Radius of Circular Curve is denoted by Rc symbol.

How to calculate Radius of Curve using Degree of Curve using this online calculator? To use this online calculator for Radius of Curve using Degree of Curve, enter Degree of Curve (D) and hit the calculate button. Here is how the Radius of Curve using Degree of Curve calculation can be explained with given input values -> 99.59103 = 50/(sin(1/2)*(1.0471975511964)).

FAQ

What is Radius of Curve using Degree of Curve?
The Radius of curve using degree of curve (exact for chord definition) can be defined as the central angle to the ends of an arc or chord of agreed length and is represented as Rc = 50/(sin(1/2)*(D)) or Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve)). Degree of Curve can be described as the angle of the road curve.
How to calculate Radius of Curve using Degree of Curve?
The Radius of curve using degree of curve (exact for chord definition) can be defined as the central angle to the ends of an arc or chord of agreed length is calculated using Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve)). To calculate Radius of Curve using Degree 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 = 5729.578/(Degree of Curve*(180/pi))
  • 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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