Exact Tangent Distance Calculator

✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Circular Curve [R_c]			+10% -10%
✖Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.ⓘ Central Angle of Curve [I]			+10% -10%

✖Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature.ⓘ Exact Tangent Distance [T]

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Exact Tangent Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve
T = R_c*tan(1/2)*I
This formula uses 1 Functions, 3 Variables

Functions Used

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., tan(Angle)

Variables Used

Tangent Distance - (Measured in Meter) - Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature.
Radius of Circular Curve - (Measured in Meter) - Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
Central Angle of Curve - (Measured in Radian) - Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required
Central Angle of Curve: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = R_c*tan(1/2)*I --> 130*tan(1/2)*0.698131700797601

Evaluating ... ...

T = 49.5808412299992

STEP 3: Convert Result to Output's Unit

49.5808412299992 Meter --> No Conversion Required

FINAL ANSWER

49.5808412299992 ≈ 49.58084 Meter <-- Tangent Distance

(Calculation completed in 00.020 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Circular Curves on Highways and Roads Calculators

Central Angle of Curve for given Tangent Distance

LaTeX Go Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve))

Exact Tangent Distance

LaTeX Go Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve

Degree of Curve for given Radius of Curve

LaTeX Go Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)

Radius of Curve using Degree of Curve

LaTeX Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))

Exact Tangent Distance Formula

LaTeX Go

Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve
T = R_c*tan(1/2)*I

What is radius of circular curve?

Radius of circular curve can be defined as the absolute value of the reciprocal of the curvature at a point on a curve.

How to Calculate Exact Tangent Distance?

Exact Tangent Distance calculator uses Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve to calculate 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 calculate Exact Tangent Distance using this online calculator? To use this online calculator for Exact Tangent Distance, enter Radius of Circular Curve (R_c) & Central Angle of Curve (I) and hit the calculate button. Here is how the Exact Tangent Distance calculation can be explained with given input values -> 49.58084 = 130*tan(1/2)*0.698131700797601.

FAQ

What is Exact Tangent Distance?

Exact Tangent Distance can be defined as the distance from point of intersection of tangents to point of curvature and is represented as T = R_c*tan(1/2)*I or Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve. Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration & Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

How to calculate Exact Tangent Distance?

Exact Tangent Distance can be defined as the distance from point of intersection of tangents to point of curvature is calculated using Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve. To calculate Exact Tangent Distance, you need Radius of Circular Curve (R_c) & Central Angle of Curve (I). With our tool, you need to enter the respective value for Radius of Circular Curve & Central Angle of Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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