Central Angle of Curve for given 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%
✖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 for given Tangent Distance [I]

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Central Angle of Curve for given Tangent Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Tangent Distance: 49.58 Meter --> 49.58 Meter No Conversion Required
Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (T/(sin(1/2)*R_c)) --> (49.58/(sin(1/2)*130))

Evaluating ... ...

I = 0.795503336128018

STEP 3: Convert Result to Output's Unit

0.795503336128018 Radian -->45.5789837487209 Degree (Check conversion here)

FINAL ANSWER

45.5789837487209 ≈ 45.57898 Degree <-- Central Angle of Curve

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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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))

Central Angle of Curve for given Tangent Distance Formula

LaTeX Go

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

What is radius of the curve?

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

How to Calculate Central Angle of Curve for given Tangent Distance?

Central Angle of Curve for given Tangent Distance calculator uses Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve)) to calculate the Central Angle of Curve, The Central Angle of Curve for given Tangent Distance is the angle formed by two radii drawn from the center of the circle to the point of curvature. Central Angle of Curve is denoted by I symbol.

How to calculate Central Angle of Curve for given Tangent Distance using this online calculator? To use this online calculator for Central Angle of Curve for given Tangent Distance, enter Tangent Distance (T) & Radius of Circular Curve (R_c) and hit the calculate button. Here is how the Central Angle of Curve for given Tangent Distance calculation can be explained with given input values -> 2528.261 = (49.58/(sin(1/2)*130)).

FAQ

What is Central Angle of Curve for given Tangent Distance?

The Central Angle of Curve for given Tangent Distance is the angle formed by two radii drawn from the center of the circle to the point of curvature and is represented as I = (T/(sin(1/2)*R_c)) or Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve)). Tangent distance can be defined as the distance from point of intersection of tangents to point of curvature & Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Central Angle of Curve for given Tangent Distance?

The Central Angle of Curve for given Tangent Distance is the angle formed by two radii drawn from the center of the circle to the point of curvature is calculated using Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve)). To calculate Central Angle of Curve for given Tangent Distance, you need Tangent Distance (T) & Radius of Circular Curve (R_c). With our tool, you need to enter the respective value for Tangent Distance & 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 Central Angle of Curve?

In this formula, Central Angle of Curve uses Tangent Distance & Radius of Circular Curve. We can use 2 other way(s) to calculate the same, which is/are as follows -

Central Angle of Curve = (Length of long Chord/(2*Radius of Circular Curve*sin(1/2)))
Central Angle of Curve = (Length of Curve*Degree of Curve)/100

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