Length of Curve Calculator

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.ⓘ Deflection Angle [Δ]			+10% -10%

✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve [L_Curve]

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Formula

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Length of Curve

Formula

`"L"_{"Curve"} = "R"_{"Curve"}*"Δ"`

Example

`"226.8928m"="200m"*"65°"`

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Length of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = Curve Radius*Deflection Angle
L_Curve = R_Curve*Δ
This formula uses 3 Variables

Variables Used

Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Deflection Angle - (Measured in Radian) - Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

STEP 1: Convert Input(s) to Base Unit

Curve Radius: 200 Meter --> 200 Meter No Conversion Required
Deflection Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Curve = R_Curve*Δ --> 200*1.1344640137961

Evaluating ... ...

L_Curve = 226.89280275922

STEP 3: Convert Result to Output's Unit

226.89280275922 Meter --> No Conversion Required

FINAL ANSWER

226.89280275922 ≈ 226.8928 Meter <-- Length of Curve

(Calculation completed in 00.020 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 11 Simple Circular Curve Calculators

Radius of Curve given Long Chord

Go Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2))

Length of Curve if 30m Chord Definition

Go Length of Curve = 30*Deflection Angle/Angle for Arc*(180/pi)

Length of Curve if 20m Chord Definition

Go Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi)

Radius given Apex Distance

Go Curve Radius = Apex Distance/(sec(Deflection Angle/2)-1)

Apex Distance

Go Apex Distance = Curve Radius*(sec(Deflection Angle/2)-1)

Mid Ordinate

Go Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2))

Radius of Curve given Tangent

Go Curve Radius = Tangent Length/tan(Deflection Angle/2)

Tangent Length

Go Tangent Length = Curve Radius*tan(Deflection Angle/2)

Deflection Angle given Length of Curve

Go Deflection Angle = Length of Curve/Curve Radius

Radius of Curve given Length

Go Curve Radius = Length of Curve/Deflection Angle

Length of Curve

Go Length of Curve = Curve Radius*Deflection Angle

Length of Curve Formula

Length of Curve = Curve Radius*Deflection Angle
L_Curve = R_Curve*Δ

Why Degree of Curve is used for Designing Curves?

The curvature of a circular arc is perfectly defined by its radius. However, where the radius is long (highways) the center of the curve is inaccessible or remote. In such a case the radius is of no value for surveying operations, though still needed in certain computations; it must be replaced by a different characteristic of the curve which is most useful. The characteristic commonly used is known as degree of curve.

How to Calculate Length of Curve?

Length of Curve calculator uses Length of Curve = Curve Radius*Deflection Angle to calculate the Length of Curve, The Length of Curve formula is defined as the designated using either the angle subtended or using the radius of the curve. A simple circular curve may, however, either be designated by radius (in feet, meters or chains) or by a degree of the curve. Length of Curve is denoted by L_Curve symbol.

How to calculate Length of Curve using this online calculator? To use this online calculator for Length of Curve, enter Curve Radius (R_Curve) & Deflection Angle (Δ) and hit the calculate button. Here is how the Length of Curve calculation can be explained with given input values -> 226.8928 = 200*1.1344640137961.

FAQ

What is Length of Curve?

The Length of Curve formula is defined as the designated using either the angle subtended or using the radius of the curve. A simple circular curve may, however, either be designated by radius (in feet, meters or chains) or by a degree of the curve and is represented as L_Curve = R_Curve*Δ or Length of Curve = Curve Radius*Deflection Angle. Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

How to calculate Length of Curve?

The Length of Curve formula is defined as the designated using either the angle subtended or using the radius of the curve. A simple circular curve may, however, either be designated by radius (in feet, meters or chains) or by a degree of the curve is calculated using Length of Curve = Curve Radius*Deflection Angle. To calculate Length of Curve, you need Curve Radius (R_Curve) & Deflection Angle (Δ). With our tool, you need to enter the respective value for Curve Radius & Deflection Angle 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 Curve Radius & Deflection Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Curve = 30*Deflection Angle/Angle for Arc*(180/pi)
Length of Curve = 20*Deflection Angle/Angle for Arc*(180/pi)

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