FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of Curve given Length Formula

GoRadius of Curve given Tangent Formula

GoRadius of Curve given Long Chord Formula

Fx Copy

LaTeX Copy

Curve Radius is the radius of a circle whose part, say, arc is taken for consideration. Check FAQs

R Curve = \frac{L Curve}{Δ}

R_Curve - Curve Radius?L_Curve - Length of Curve?Δ - Deflection Angle?

Radius of Curve given Length Example

With values

With units

Only example

Here is how the Radius of Curve given Length equation looks like with Values.

Here is how the Radius of Curve given Length equation looks like with Units.

Here is how the Radius of Curve given Length equation looks like.

132.221 = \frac{150}{65}

132.221m = \frac{150m}{65°}

132.221 = \frac{150}{65}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Radius of Curve given Length

Radius of Curve given Length Solution

Follow our step by step solution on how to calculate Radius of Curve given Length?

FIRST Step Consider the formula

R Curve = \frac{L Curve}{Δ}

Next Step Substitute values of Variables

∴

R Curve = \frac{150m}{65°}

Next Step Convert Units

∴

R Curve = \frac{150m}{1.1345rad}

Next Step Prepare to Evaluate

∴

R Curve = \frac{150}{1.1345}

Next Step Evaluate

∴

R Curve = 132.2210296456m

LAST Step Rounding Answer

∴

R Curve = 132.221m

Radius of Curve given Length Formula Elements

Variables

Curve Radius

Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

Length of Curve

Length of curve is defined as the arc length in a parabolic curves.

Symbol: L_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Deflection Angle

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.

Symbol: Δ

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Deflection Angle

Other Formulas to find Curve Radius

Go Radius of Curve given Tangent

R Curve = \frac{T}{\tan (\frac{Δ}{2})}

Go Radius of Curve given Long Chord

R Curve = \frac{C}{2 \cdot \sin (\frac{Δ}{2})}

Go Radius given Apex Distance

R Curve = \frac{L ad}{\sec (\frac{Δ}{2}) - 1}

Other formulas in Simple Circular Curve category

Go Length of Curve

L Curve = R Curve \cdot Δ

Go Deflection Angle given Length of Curve

Δ = \frac{L Curve}{R Curve}

Go Length of Curve if 30m Chord Definition

L Curve = 30 \cdot \frac{Δ}{D} \cdot (\frac{180}{π})

Go Length of Curve if 20m Chord Definition

L Curve = 20 \cdot \frac{Δ}{D} \cdot (\frac{180}{π})

How to Evaluate Radius of Curve given Length?

Radius of Curve given Length evaluator uses Curve Radius = Length of Curve/Deflection Angle to evaluate 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 evaluate Radius of Curve given Length using this online evaluator? To use this online evaluator for Radius of Curve given Length, enter Length of Curve (L_Curve) & Deflection Angle (Δ) and hit the calculate button.

FAQs on Radius of Curve given Length

What is the formula to find Radius of Curve given Length?

The formula of Radius of Curve given Length is expressed as Curve Radius = Length of Curve/Deflection Angle. Here is an example- 132.221 = 150/1.1344640137961.

How to calculate Radius of Curve given Length?

With Length of Curve (L_Curve) & Deflection Angle (Δ) we can find Radius of Curve given Length using the formula - Curve Radius = Length of Curve/Deflection Angle.

What are the other ways to Calculate Curve Radius?

Here are the different ways to Calculate Curve Radius-

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)

Can the Radius of Curve given Length be negative?

No, the Radius of Curve given Length, measured in Length cannot be negative.

Which unit is used to measure Radius of Curve given Length?

Radius of Curve given Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Curve given Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit