Radius of Curve given Length Calculator

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

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve given Length [R_Curve]

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Formula

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Radius of Curve given Length

Formula

`"R"_{"Curve"} = "L"_{"Curve"}/"Δ"`

Example

`"132.221m"="150m"/"65°"`

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Radius of Curve given Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
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

Length of Curve: 150 Meter --> 150 Meter No Conversion Required
Deflection Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_Curve = L_Curve/Δ --> 150/1.1344640137961

Evaluating ... ...

R_Curve = 132.2210296456

STEP 3: Convert Result to Output's Unit

132.2210296456 Meter --> No Conversion Required

FINAL ANSWER

132.2210296456 ≈ 132.221 Meter <-- Curve Radius

(Calculation completed in 00.020 seconds)

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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

Radius of Curve given Length Formula

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

What is a Vertical Curve?

These are curves, in a vertical plane, used to join two intersecting grade lines. The reduced level of these curves change from point to point in a gradual and systematic manner.

How to Calculate Radius of Curve given Length?

Radius of Curve given Length calculator uses Curve Radius = Length of Curve/Deflection Angle to calculate the Curve Radius, The Radius of Curve given Length formula is defined as the radius or radii of the curve which is as same as the radius of the circle which can be made. Curve Radius is denoted by R_Curve symbol.

How to calculate Radius of Curve given Length using this online calculator? To use this online calculator for Radius of Curve given Length, enter Length of Curve (L_Curve) & Deflection Angle (Δ) and hit the calculate button. Here is how the Radius of Curve given Length calculation can be explained with given input values -> 132.221 = 150/1.1344640137961.

FAQ

What is Radius of Curve given Length?

The Radius of Curve given Length formula is defined as the radius or radii of the curve which is as same as the radius of the circle which can be made and is represented as R_Curve = L_Curve/Δ or Curve Radius = Length of Curve/Deflection Angle. Length of curve is defined as the arc length in a parabolic curves & 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 Radius of Curve given Length?

The Radius of Curve given Length formula is defined as the radius or radii of the curve which is as same as the radius of the circle which can be made is calculated using Curve Radius = Length of Curve/Deflection Angle. To calculate Radius of Curve given Length, you need Length of Curve (L_Curve) & Deflection Angle (Δ). With our tool, you need to enter the respective value for Length of Curve & 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 Curve Radius?

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

Curve Radius = Tangent Length/tan(Deflection Angle/2)
Curve Radius = Length of Long Chord/(2*sin(Deflection Angle/2))
Curve Radius = Apex Distance/(sec(Deflection Angle/2)-1)

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