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Radius of Curve given Long Chord Formula

GoRadius of Curve given Length Formula

GoRadius of Curve given Tangent Formula

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

R Curve = \frac{C}{2 \cdot \sin (\frac{Δ}{2})}

R_Curve - Curve Radius?C - Length of Long Chord?Δ - Deflection Angle?

Radius of Curve given Long Chord Example

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With units

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

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

Here is how the Radius of Curve given Long Chord equation looks like.

60.953 = \frac{65.5}{2 \cdot \sin (\frac{65}{2})}

60.953m = \frac{65.5m}{2 \cdot \sin (\frac{65°}{2})}

60.953 = \frac{65.5}{2 \cdot \sin (\frac{65}{2})}

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Radius of Curve given Long Chord Solution

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

FIRST Step Consider the formula

R Curve = \frac{C}{2 \cdot \sin (\frac{Δ}{2})}

Next Step Substitute values of Variables

∴

R Curve = \frac{65.5m}{2 \cdot \sin (\frac{65°}{2})}

Next Step Convert Units

∴

R Curve = \frac{65.5m}{2 \cdot \sin (\frac{1.1345rad}{2})}

Next Step Prepare to Evaluate

∴

R Curve = \frac{65.5}{2 \cdot \sin (\frac{1.1345}{2})}

Next Step Evaluate

∴

R Curve = 60.9529571420524m

LAST Step Rounding Answer

∴

R Curve = 60.953m

Radius of Curve given Long Chord Formula Elements

Variables

Functions

Curve Radius

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

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

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 should be greater than 0.

Formulas to find Length of Long Chord

Deflection Angle

Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

Symbol: Δ

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Deflection Angle

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 to find Curve Radius

Go Radius of Curve given Length

R Curve = \frac{L Curve}{Δ}

Go Radius of Curve given Tangent

R Curve = \frac{T}{\tan (\frac{Δ}{2})}

Go Radius given Apex Distance

R Curve = \frac{L ad}{\sec (\frac{Δ}{2}) - 1}

Other formulas in Simple Circular Curve category

Go Length of Curve

L Curve = R Curve \cdot Δ

Go Deflection Angle given Length of Curve

Δ = \frac{L Curve}{R Curve}

Go Length of Curve if 30m Chord Definition

L Curve = 30 \cdot \frac{Δ}{D} \cdot (\frac{180}{π})

Go Length of Curve if 20m Chord Definition

L Curve = 20 \cdot \frac{Δ}{D} \cdot (\frac{180}{π})

How to Evaluate Radius of Curve given Long Chord?

Radius of Curve given Long Chord evaluator uses Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2)) to evaluate the Curve Radius, The Radius of Curve given Long Chord formula is defined as the same as the radius of a circle from which part is taken as an arc or curve. Curve Radius is denoted by R_Curve symbol.

How to evaluate Radius of Curve given Long Chord using this online evaluator? To use this online evaluator for Radius of Curve given Long Chord, enter Length of Long Chord (C) & Deflection Angle (Δ) and hit the calculate button.

FAQs on Radius of Curve given Long Chord

What is the formula to find Radius of Curve given Long Chord?

The formula of Radius of Curve given Long Chord is expressed as Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2)). Here is an example- 60.95296 = 65.5/(2*sin(1.1344640137961/2)).

How to calculate Radius of Curve given Long Chord?

With Length of Long Chord (C) & Deflection Angle (Δ) we can find Radius of Curve given Long Chord using the formula - Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Curve Radius?

Here are the different ways to Calculate Curve Radius-

Curve Radius=Length of Curve/Deflection Angle
Curve Radius=Tangent Length/tan(Deflection Angle/2)
Curve Radius=Apex Distance/(sec(Deflection Angle/2)-1)

Can the Radius of Curve given Long Chord be negative?

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

Which unit is used to measure Radius of Curve given Long Chord?

Radius of Curve given Long Chord 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 given Long Chord can be measured.

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