Radius of Curve using Degree of Curve Calculator

✖Degree of Curve can be described as the angle of the road curve.ⓘ Degree of Curve [D]

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✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve using Degree of Curve [R_c]

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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))
R_c = 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

R_c = 50/(sin(1/2)*(D)) --> 50/(sin(1/2)*(1.0471975511964))

Evaluating ... ...

R_c = 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)

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National Institute of Technology (NIT), Warangal

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< 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 using Degree of Curve Formula

LaTeX Go

Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
R_c = 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 R_c 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 R_c = 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 3 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))

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