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Radius of Curve Formula

GoRadius of Curve using Degree of Curve Formula

GoRadius of Curve Exact for Chord Formula

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Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration. Check FAQs

R c = \frac{5729.578}{D \cdot (\frac{180}{π})}

R_c - Radius of Circular Curve?D - Degree of Curve?π - Archimedes' constant?

Radius of Curve Example

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Here is how the Radius of Curve equation looks like with Values.

Here is how the Radius of Curve equation looks like with Units.

Here is how the Radius of Curve equation looks like.

95.493 = \frac{5729.578}{60 \cdot (\frac{180}{3.1416})}

95.493m = \frac{5729.578}{60° \cdot (\frac{180}{3.1416})}

95.493 = \frac{5729.578}{60 \cdot (\frac{180}{3.1416})}

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Radius of Curve Solution

Follow our step by step solution on how to calculate Radius of Curve?

FIRST Step Consider the formula

R c = \frac{5729.578}{D \cdot (\frac{180}{π})}

Next Step Substitute values of Variables

∴

R c = \frac{5729.578}{60° \cdot (\frac{180}{π})}

Next Step Substitute values of Constants

∴

R c = \frac{5729.578}{60° \cdot (\frac{180}{3.1416})}

Next Step Convert Units

∴

R c = \frac{5729.578}{1.0472rad \cdot (\frac{180}{3.1416})}

Next Step Prepare to Evaluate

∴

R c = \frac{5729.578}{1.0472 \cdot (\frac{180}{3.1416})}

Next Step Evaluate

∴

R c = 95.4929666666847m

LAST Step Rounding Answer

∴

R c = 95.493m

Radius of Curve Formula Elements

Variables

Constants

Radius of Circular Curve

Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Curve

Degree of Curve

Degree of Curve can be described as the angle of the road curve.

Symbol: D

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Degree of Curve

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Radius of Circular Curve

Go Radius of Curve using Degree of Curve

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go Radius of Curve Exact for Chord

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go Radius of Curve using Tangent Distance

R c = \frac{T}{\sin (\frac{1}{2}) \cdot (I)}

Go Radius of Curve using External Distance

R c = \frac{E}{(\sec (\frac{1}{2}) \cdot (I \cdot (\frac{180}{π}))) - 1}

Other formulas in Circular Curves on Highways and Roads category

Go Exact Tangent Distance

T = R c \cdot \tan (\frac{1}{2}) \cdot I

Go Degree of Curve for given Radius of Curve

D = (\frac{5729.578}{R c}) \cdot (\frac{π}{180})

Go Central Angle of Curve for given Tangent Distance

I = (\frac{T}{\sin (\frac{1}{2}) \cdot R c})

Go External Distance

E = R c \cdot ((\sec (\frac{1}{2}) \cdot I \cdot (\frac{180}{π})) - 1)

How to Evaluate Radius of Curve?

Radius of Curve evaluator uses Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi)) to evaluate 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 R_c symbol.

How to evaluate Radius of Curve using this online evaluator? To use this online evaluator for Radius of Curve, enter Degree of Curve (D) and hit the calculate button.

FAQs on Radius of Curve

What is the formula to find Radius of Curve?

The formula of Radius of Curve is expressed as Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi)). Here is an example- 95.49297 = 5729.578/(1.0471975511964*(180/pi)).

How to calculate Radius of Curve?

With Degree of Curve (D) we can find Radius of Curve using the formula - Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Radius of Circular Curve?

Here are the different ways to Calculate Radius of Circular Curve-

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))

Can the Radius of Curve be negative?

No, the Radius of Curve, measured in Length cannot be negative.

Which unit is used to measure Radius of Curve?

Radius of Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Curve can be measured.

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