Radius of Curve using Tangent Distance Calculator

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

✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve using Tangent Distance [R_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Circular Curves on Highways and Roads Formulas PDF PDF Image

Radius of Curve using Tangent Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

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.
Tangent Distance - (Measured in Meter) - Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature.
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

Tangent Distance: 49.58 Meter --> 49.58 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

R_c = T/(sin(1/2)*(I)) --> 49.58/(sin(1/2)*(0.698131700797601))

Evaluating ... ...

R_c = 148.131697183343

STEP 3: Convert Result to Output's Unit

148.131697183343 Meter --> No Conversion Required

FINAL ANSWER

148.131697183343 ≈ 148.1317 Meter <-- Radius of Circular Curve

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Highway Engineering » Highway and Road » Circular Curves on Highways and Roads » Radius of Curve using Tangent Distance

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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))

Radius of Curve using Tangent Distance Formula

LaTeX Go

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

What is tangent distance?

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

How to Calculate Radius of Curve using Tangent Distance?

Radius of Curve using Tangent Distance calculator uses Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve)) to calculate the Radius of Circular Curve, The Radius of Curve using Tangent Distance can be defined as the absolute value of the reciprocal of the curvature at a point on a curve. Radius of Circular Curve is denoted by R_c symbol.

How to calculate Radius of Curve using Tangent Distance using this online calculator? To use this online calculator for Radius of Curve using Tangent Distance, enter Tangent Distance (T) & Central Angle of Curve (I) and hit the calculate button. Here is how the Radius of Curve using Tangent Distance calculation can be explained with given input values -> 143.4111 = 49.58/(sin(1/2)*(0.698131700797601)).

FAQ

What is Radius of Curve using Tangent Distance?

The Radius of Curve using Tangent Distance can be defined as the absolute value of the reciprocal of the curvature at a point on a curve and is represented as R_c = T/(sin(1/2)*(I)) or Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve)). Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature & Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

How to calculate Radius of Curve using Tangent Distance?

The Radius of Curve using Tangent Distance can be defined as the absolute value of the reciprocal of the curvature at a point on a curve is calculated using Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve)). To calculate Radius of Curve using Tangent Distance, you need Tangent Distance (T) & Central Angle of Curve (I). With our tool, you need to enter the respective value for Tangent Distance & 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.

How many ways are there to calculate Radius of Circular Curve?

In this formula, Radius of Circular Curve uses Tangent Distance & Central Angle of Curve. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))

Home

FREE PDFs

🔍 Search