Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
Lc = sqrt(a*2*Rc)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Tangent Offset - (Measured in Meter) - Tangent offset can be described as the offsets to circular curve.
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.
STEP 1: Convert Input(s) to Base Unit
Tangent Offset: 75 Meter --> 75 Meter No Conversion Required
Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lc = sqrt(a*2*Rc) --> sqrt(75*2*130)
Evaluating ... ...
Lc = 139.642400437689
STEP 3: Convert Result to Output's Unit
139.642400437689 Meter --> No Conversion Required
FINAL ANSWER
139.642400437689 139.6424 Meter <-- Length of Curve
(Calculation completed in 00.020 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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Indian Institute of Information Technology (IIIT), Bhopal
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Radius of Curve using Degree of Curve
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Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length Formula

​LaTeX ​Go
Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
Lc = sqrt(a*2*Rc)

What is tangent offset?

Tangent offset can be defined as the distance measured from the point of curvature, beginning of curve to point of tangency, end of curve.

How to Calculate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?

Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length calculator uses Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve) to calculate the Length of Curve, Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length can be defined as length of arch in chord by central angle. Length of Curve is denoted by Lc symbol.

How to calculate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length using this online calculator? To use this online calculator for Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length, enter Tangent Offset (a) & Radius of Circular Curve (Rc) and hit the calculate button. Here is how the Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length calculation can be explained with given input values -> 139.6424 = sqrt(75*2*130).

FAQ

What is Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?
Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length can be defined as length of arch in chord by central angle and is represented as Lc = sqrt(a*2*Rc) or Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve). Tangent offset can be described as the offsets to circular curve & Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
How to calculate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length?
Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length can be defined as length of arch in chord by central angle is calculated using Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve). To calculate Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length, you need Tangent Offset (a) & Radius of Circular Curve (Rc). With our tool, you need to enter the respective value for Tangent Offset & Radius of Circular Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Curve?
In this formula, Length of Curve uses Tangent Offset & Radius of Circular Curve. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Curve = (100*Central Angle of Curve)/Degree of Curve
  • Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve
  • Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
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