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 = Rc*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 = Rc*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 00.004 seconds)

Credits

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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Radius of Curve using External Distance
Go Radius of Circular Curve = External Distance/((sec(1/2)*(Central Angle of Curve*(180/pi)))-1)
External Distance
Go External Distance = Radius of Circular Curve*((sec(1/2)*Central Angle of Curve*(180/pi))-1)
Central Angle of Curve for given Length of Long Chord
Go Central Angle of Curve = (Length of long Chord/(2*Radius of Circular Curve*sin(1/2)))
Radius of Curve given Length of Long Chord
Go Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve))
Length of Long Chord
Go Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve))
Central Angle of Curve for given Tangent Distance
Go Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve))
Radius of Curve using Tangent Distance
Go Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve))
Radius of Curve using Midordinate
Go Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
Exact Tangent Distance
Go Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve
Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length
Go Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length
Go Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)
Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve
Go Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
Central angle for Portion of Curve Approximate for Chord definition
Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
Central Angle for Portion of Curve Exact for Arc definition
Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
Length of Curve given Central Angle for portion of Curve
Go Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve
Degree of Curve when Central Angle for Portion of Curve
Go Degree of Curve = (100*Central Angle for Portion of Curve)/Length of Curve
Tangent Offset for Chord of Length
Go Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)
Degree of Curve for given Radius of Curve
Go Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)
Radius of Curve
Go Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Central Angle of Curve for given Length of Curve
Go Central Angle of Curve = (Length of Curve*Degree of Curve)/100
Degree of Curve for given Length of Curve
Go Degree of Curve = (100*Central Angle of Curve)/Length of Curve
Exact Length of Curve
Go Length of Curve = (100*Central Angle of Curve)/Degree of Curve
Radius of Curve using Degree of Curve
Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Curve Exact for Chord
Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Approximate Chord Offset for Chord of Length
Go Chord Offset = Length of Curve^2/Radius of Circular Curve

Exact Tangent Distance Formula

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