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Exact Length of Curve Formula

GoLength of Curve given Central Angle for portion of Curve Formula

GoLength of Curve or Chord by Central Angle given Central Angle for Portion of Curve Formula

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Length of curve is defined as the arc length in a parabolic curves. Check FAQs

L c = \frac{100 \cdot I}{D}

L_c - Length of Curve?I - Central Angle of Curve?D - Degree of Curve?

Exact Length of Curve Example

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

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

Here is how the Exact Length of Curve equation looks like.

66.6667 = \frac{100 \cdot 40}{60}

66.6667m = \frac{100 \cdot 40°}{60°}

66.6667 = \frac{100 \cdot 40}{60}

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Exact Length of Curve Solution

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

FIRST Step Consider the formula

L c = \frac{100 \cdot I}{D}

Next Step Substitute values of Variables

∴

L c = \frac{100 \cdot 40°}{60°}

Next Step Convert Units

∴

L c = \frac{100 \cdot 0.6981rad}{1.0472rad}

Next Step Prepare to Evaluate

∴

L c = \frac{100 \cdot 0.6981}{1.0472}

Next Step Evaluate

∴

L c = 66.6666666666668m

LAST Step Rounding Answer

∴

L c = 66.6667m

Exact Length of Curve Formula Elements

Variables

Length of Curve

Length of curve is defined as the arc length in a parabolic curves.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Central Angle of Curve

Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

Symbol: I

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Central Angle of 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

Other Formulas to find Length of Curve

Go Length of Curve given Central Angle for portion of Curve

L c = \frac{d \cdot 100}{D}

Go Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve

L c = \frac{100 \cdot d}{D}

Go Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length

L c = \sqrt{a \cdot 2 \cdot R c}

Go Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length

L c = \sqrt{b \cdot R c}

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 Radius of Curve using Degree of Curve

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

Go Central Angle of Curve for given Tangent Distance

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

How to Evaluate Exact Length of Curve?

Exact Length of Curve evaluator uses Length of Curve = (100*Central Angle of Curve)/Degree of Curve to evaluate the Length of Curve, Exact Length of Curve is defined as the length of the curve from point of curvature, the beginning of a curve to point of the tangency, the end of curve. Length of Curve is denoted by L_c symbol.

How to evaluate Exact Length of Curve using this online evaluator? To use this online evaluator for Exact Length of Curve, enter Central Angle of Curve (I) & Degree of Curve (D) and hit the calculate button.

FAQs on Exact Length of Curve

What is the formula to find Exact Length of Curve?

The formula of Exact Length of Curve is expressed as Length of Curve = (100*Central Angle of Curve)/Degree of Curve. Here is an example- 66.66667 = (100*0.698131700797601)/1.0471975511964.

How to calculate Exact Length of Curve?

With Central Angle of Curve (I) & Degree of Curve (D) we can find Exact Length of Curve using the formula - Length of Curve = (100*Central Angle of Curve)/Degree of Curve.

What are the other ways to Calculate Length of Curve?

Here are the different ways to Calculate Length of Curve-

Length of Curve=(Central Angle for Portion of Curve*100)/Degree of Curve
Length of Curve=(100*Central Angle for Portion of Curve)/Degree of Curve
Length of Curve=sqrt(Tangent Offset*2*Radius of Circular Curve)

Can the Exact Length of Curve be negative?

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

Which unit is used to measure Exact Length of Curve?

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

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