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Tangent Length Formula

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

T = R Curve \cdot \tan (\frac{Δ}{2})

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

Tangent Length Example

With values

With units

Only example

Here is how the Tangent Length equation looks like with Values.

Here is how the Tangent Length equation looks like with Units.

Here is how the Tangent Length equation looks like.

127.4141 = 200 \cdot \tan (\frac{65}{2})

127.4141m = 200m \cdot \tan (\frac{65°}{2})

127.4141 = 200 \cdot \tan (\frac{65}{2})

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Tangent Length Solution

Follow our step by step solution on how to calculate Tangent Length?

FIRST Step Consider the formula

T = R Curve \cdot \tan (\frac{Δ}{2})

Next Step Substitute values of Variables

∴

T = 200m \cdot \tan (\frac{65°}{2})

Next Step Convert Units

∴

T = 200m \cdot \tan (\frac{1.1345rad}{2})

Next Step Prepare to Evaluate

∴

T = 200 \cdot \tan (\frac{1.1345}{2})

Next Step Evaluate

∴

T = 127.414052161469m

LAST Step Rounding Answer

∴

T = 127.4141m

Tangent Length Formula Elements

Variables

Functions

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

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

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 in Simple Circular Curve category

Go Length of Curve

L Curve = R Curve \cdot Δ

Go Radius of Curve given Length

R Curve = \frac{L Curve}{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})

How to Evaluate Tangent Length?

Tangent Length evaluator uses Tangent Length = Curve Radius*tan(Deflection Angle/2) to evaluate the Tangent Length, The Tangent Length formula is defined as equal to the length of a line segment with endpoints as the external point and the point of contact. Tangent Length is denoted by T symbol.

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

FAQs on Tangent Length

What is the formula to find Tangent Length?

The formula of Tangent Length is expressed as Tangent Length = Curve Radius*tan(Deflection Angle/2). Here is an example- 127.4141 = 200*tan(1.1344640137961/2).

How to calculate Tangent Length?

With Curve Radius (R_Curve) & Deflection Angle (Δ) we can find Tangent Length using the formula - Tangent Length = Curve Radius*tan(Deflection Angle/2). This formula also uses Tangent (tan) function(s).

Can the Tangent Length be negative?

No, the Tangent Length, measured in Length cannot be negative.

Which unit is used to measure Tangent Length?

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

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