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

GoExact Length of Curve Formula

GoLength of Curve 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 = \sqrt{a \cdot 2 \cdot R c}

L_c - Length of Curve?a - Tangent Offset?R_c - Radius of Circular Curve?

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

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Here is how the Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length equation looks like with Values.

Here is how the Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length equation looks like with Units.

Here is how the Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length equation looks like.

139.6424 = \sqrt{75 \cdot 2 \cdot 130}

139.6424m = \sqrt{75m \cdot 2 \cdot 130m}

139.6424 = \sqrt{75 \cdot 2 \cdot 130}

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

Follow our step by step solution on how to calculate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L c = \sqrt{75m \cdot 2 \cdot 130m}

Next Step Prepare to Evaluate

∴

L c = \sqrt{75 \cdot 2 \cdot 130}

Next Step Evaluate

∴

L c = 139.642400437689m

LAST Step Rounding Answer

∴

L c = 139.6424m

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

Variables

Functions

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

Tangent Offset

Tangent offset can be described as the offsets to circular curve.

Symbol: a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Tangent Offset

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Length of Curve

Go Exact Length of Curve

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

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 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 or Chord by Central Angle given Tangent Offset for Chord of Length?

Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length evaluator uses Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve) to evaluate the Length of Curve, Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length can be defined as length of arch in chord by central angle. Length of Curve is denoted by L_c symbol.

How to evaluate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length using this online evaluator? To use this online evaluator for Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length, enter Tangent Offset (a) & Radius of Circular Curve (R_c) and hit the calculate button.

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

What is the formula to find Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?

The formula of Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length is expressed as Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve). Here is an example- 139.6424 = sqrt(75*2*130).

How to calculate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?

With Tangent Offset (a) & Radius of Circular Curve (R_c) we can find Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length using the formula - Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve). This formula also uses Square Root (sqrt) function(s).

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=(Central Angle for Portion of Curve*100)/Degree of Curve
Length of Curve=(100*Central Angle for Portion of Curve)/Degree of Curve

Can the Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length be negative?

No, the Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length, measured in Length cannot be negative.

Which unit is used to measure Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?

Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length 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 or Chord by Central Angle given Tangent Offset for Chord of Length can be measured.

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

​GoExact Length of Curve Formula

​GoLength of Curve given Central Angle for portion of Curve Formula

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

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

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

Other Formulas to find Length of Curve

Other formulas in Circular Curves on Highways and Roads category

How to Evaluate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?

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

Variable Name

GoExact Length of Curve Formula

GoLength of Curve given Central Angle for portion of Curve Formula