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Length of Curve given Central Angle for portion of Curve Formula

GoExact Length 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{d \cdot 100}{D}

L_c - Length of Curve?d - Central Angle for Portion of Curve?D - Degree of Curve?

Length of Curve given Central Angle for portion of Curve Example

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Here is how the Length of Curve given Central Angle for portion of Curve equation looks like with Values.

Here is how the Length of Curve given Central Angle for portion of Curve equation looks like with Units.

Here is how the Length of Curve given Central Angle for portion of Curve equation looks like.

150 = \frac{90 \cdot 100}{60}

150m = \frac{90° \cdot 100}{60°}

150 = \frac{90 \cdot 100}{60}

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Length of Curve given Central Angle for portion of Curve Solution

Follow our step by step solution on how to calculate Length of Curve given Central Angle for portion of Curve?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L c = \frac{90° \cdot 100}{60°}

Next Step Convert Units

∴

L c = \frac{1.5708rad \cdot 100}{1.0472rad}

Next Step Prepare to Evaluate

∴

L c = \frac{1.5708 \cdot 100}{1.0472}

LAST Step Evaluate

∴

L c = 150m

Length of Curve given Central Angle for portion 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 for Portion of Curve

Central Angle for Portion of Curve can be described as the angle between the two radii.

Symbol: d

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Central Angle for Portion 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 Exact Length of Curve

L c = \frac{100 \cdot I}{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 Length of Curve given Central Angle for portion of Curve?

Length of Curve given Central Angle for portion of Curve evaluator uses Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve to evaluate the Length of Curve, The Length of Curve given Central Angle for portion of Curve can be defined as the length of a curve (arc) determined by the central angle. Length of Curve is denoted by L_c symbol.

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

FAQs on Length of Curve given Central Angle for portion of Curve

What is the formula to find Length of Curve given Central Angle for portion of Curve?

The formula of Length of Curve given Central Angle for portion of Curve is expressed as Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve. Here is an example- 150 = (1.5707963267946*100)/1.0471975511964.

How to calculate Length of Curve given Central Angle for portion of Curve?

With Central Angle for Portion of Curve (d) & Degree of Curve (D) we can find Length of Curve given Central Angle for portion of Curve using the formula - Length of Curve = (Central Angle for Portion of Curve*100)/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=(100*Central Angle of Curve)/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 Length of Curve given Central Angle for portion of Curve be negative?

No, the Length of Curve given Central Angle for portion of Curve, measured in Length cannot be negative.

Which unit is used to measure Length of Curve given Central Angle for portion of Curve?

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

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