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Length of Long Chord Formula

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Length of long chord can be described as the distance from point of curvature to point of tangency. Check FAQs

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

C - Length of long Chord?R_c - Radius of Circular Curve?I - Central Angle of Curve?

Length of Long Chord Example

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Here is how the Length of Long Chord equation looks like with Values.

Here is how the Length of Long Chord equation looks like with Units.

Here is how the Length of Long Chord equation looks like.

88.9252 = 2 \cdot 130 \cdot \sin ((\frac{1}{2}) \cdot (40))

88.9252m = 2 \cdot 130m \cdot \sin ((\frac{1}{2}) \cdot (40°))

88.9252 = 2 \cdot 130 \cdot \sin ((\frac{1}{2}) \cdot (40))

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Length of Long Chord Solution

Follow our step by step solution on how to calculate Length of Long Chord?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = 2 \cdot 130m \cdot \sin ((\frac{1}{2}) \cdot (40°))

Next Step Convert Units

∴

C = 2 \cdot 130m \cdot \sin ((\frac{1}{2}) \cdot (0.6981rad))

Next Step Prepare to Evaluate

∴

C = 2 \cdot 130 \cdot \sin ((\frac{1}{2}) \cdot (0.6981))

Next Step Evaluate

∴

C = 88.9252372646579m

LAST Step Rounding Answer

∴

C = 88.9252m

Length of Long Chord Formula Elements

Variables

Functions

Length of long Chord

Length of long chord can be described as the distance from point of curvature to point of tangency.

Symbol: C

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of long Chord

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

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

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.

Syntax: sin(Angle)

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 Long Chord?

Length of Long Chord evaluator uses Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve)) to evaluate the Length of long Chord, Length of Long Chord is defined as the length from point of curvature to point of tangency. Length of long Chord is denoted by C symbol.

How to evaluate Length of Long Chord using this online evaluator? To use this online evaluator for Length of Long Chord, enter Radius of Circular Curve (R_c) & Central Angle of Curve (I) and hit the calculate button.

FAQs on Length of Long Chord

What is the formula to find Length of Long Chord?

The formula of Length of Long Chord is expressed as Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve)). Here is an example- 88.92524 = 2*130*sin((1/2)*(0.698131700797601)).

How to calculate Length of Long Chord?

With Radius of Circular Curve (R_c) & Central Angle of Curve (I) we can find Length of Long Chord using the formula - Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve)). This formula also uses Sine (sin) function(s).

Can the Length of Long Chord be negative?

Yes, the Length of Long Chord, measured in Length can be negative.

Which unit is used to measure Length of Long Chord?

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

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