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Exact Tangent Distance Formula

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Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature. Check FAQs

T = R c \cdot \tan (\frac{1}{2}) \cdot I

T - Tangent Distance?R_c - Radius of Circular Curve?I - Central Angle of Curve?

Exact Tangent Distance Example

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Here is how the Exact Tangent Distance equation looks like with Values.

Here is how the Exact Tangent Distance equation looks like with Units.

Here is how the Exact Tangent Distance equation looks like.

49.5808 = 130 \cdot \tan (\frac{1}{2}) \cdot 40

49.5808m = 130m \cdot \tan (\frac{1}{2}) \cdot 40°

49.5808 = 130 \cdot \tan (\frac{1}{2}) \cdot 40

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Exact Tangent Distance Solution

Follow our step by step solution on how to calculate Exact Tangent Distance?

FIRST Step Consider the formula

T = R c \cdot \tan (\frac{1}{2}) \cdot I

Next Step Substitute values of Variables

∴

T = 130m \cdot \tan (\frac{1}{2}) \cdot 40°

Next Step Convert Units

∴

T = 130m \cdot \tan (\frac{1}{2}) \cdot 0.6981rad

Next Step Prepare to Evaluate

∴

T = 130 \cdot \tan (\frac{1}{2}) \cdot 0.6981

Next Step Evaluate

∴

T = 49.5808412299992m

LAST Step Rounding Answer

∴

T = 49.5808m

Exact Tangent Distance Formula Elements

Variables

Functions

Tangent Distance

Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature.

Symbol: T

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Tangent Distance

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

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 Circular Curves on Highways and Roads category

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})

Go External Distance

E = R c \cdot ((\sec (\frac{1}{2}) \cdot I \cdot (\frac{180}{π})) - 1)

How to Evaluate Exact Tangent Distance?

Exact Tangent Distance evaluator uses Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve to evaluate the Tangent Distance, Exact Tangent Distance can be defined as the distance from point of intersection of tangents to point of curvature. Tangent Distance is denoted by T symbol.

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

FAQs on Exact Tangent Distance

What is the formula to find Exact Tangent Distance?

The formula of Exact Tangent Distance is expressed as Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve. Here is an example- 49.58084 = 130*tan(1/2)*0.698131700797601.

How to calculate Exact Tangent Distance?

With Radius of Circular Curve (R_c) & Central Angle of Curve (I) we can find Exact Tangent Distance using the formula - Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve. This formula also uses Tangent function(s).

Can the Exact Tangent Distance be negative?

Yes, the Exact Tangent Distance, measured in Length can be negative.

Which unit is used to measure Exact Tangent Distance?

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

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