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Radius of Curve given Tangent Formula

GoRadius of Curve given Length Formula

GoRadius of Curve given Long Chord 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{T}{\tan (\frac{Δ}{2})}

R_Curve - Curve Radius?T - Tangent Length?Δ - Deflection Angle?

Radius of Curve given Tangent Example

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

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

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

199.9779 = \frac{127.4}{\tan (\frac{65}{2})}

199.9779m = \frac{127.4m}{\tan (\frac{65°}{2})}

199.9779 = \frac{127.4}{\tan (\frac{65}{2})}

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Radius of Curve given Tangent Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R Curve = \frac{127.4m}{\tan (\frac{65°}{2})}

Next Step Convert Units

∴

R Curve = \frac{127.4m}{\tan (\frac{1.1345rad}{2})}

Next Step Prepare to Evaluate

∴

R Curve = \frac{127.4}{\tan (\frac{1.1345}{2})}

Next Step Evaluate

∴

R Curve = 199.977942524816m

LAST Step Rounding Answer

∴

R Curve = 199.9779m

Radius of Curve given Tangent 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

Tangent Length

Tangent Length is equal to the length of a line segment with endpoints as the external point and the point of contact.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Tangent Length

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Curve Radius

Go Radius of Curve given Length

R Curve = \frac{L Curve}{Δ}

Go Radius of Curve given Long Chord

R Curve = \frac{C}{2 \cdot \sin (\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 Tangent?

Radius of Curve given Tangent evaluator uses Curve Radius = Tangent Length/tan(Deflection Angle/2) to evaluate the Curve Radius, The Radius of Curve given Tangent formula is defined as a radius of an arc or curve created by part of a circle that can be made from the same radius. Curve Radius is denoted by R_Curve symbol.

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

FAQs on Radius of Curve given Tangent

What is the formula to find Radius of Curve given Tangent?

The formula of Radius of Curve given Tangent is expressed as Curve Radius = Tangent Length/tan(Deflection Angle/2). Here is an example- 199.9779 = 127.4/tan(1.1344640137961/2).

How to calculate Radius of Curve given Tangent?

With Tangent Length (T) & Deflection Angle (Δ) we can find Radius of Curve given Tangent using the formula - Curve Radius = Tangent Length/tan(Deflection Angle/2). This formula also uses Tangent (tan) 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=Length of Long Chord/(2*sin(Deflection Angle/2))
Curve Radius=Apex Distance/(sec(Deflection Angle/2)-1)

Can the Radius of Curve given Tangent be negative?

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

Which unit is used to measure Radius of Curve given Tangent?

Radius of Curve given Tangent 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 Tangent can be measured.

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