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Radius of Curve using Midordinate Formula

GoRadius of Curve using Degree of Curve Formula

GoRadius of Curve Formula

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

R c = \frac{M}{1 - (\cos (\frac{1}{2}) \cdot (I))}

R_c - Radius of Circular Curve?M - Midordinate?I - Central Angle of Curve?

Radius of Curve using Midordinate Example

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Here is how the Radius of Curve using Midordinate equation looks like with Values.

Here is how the Radius of Curve using Midordinate equation looks like with Units.

Here is how the Radius of Curve using Midordinate equation looks like.

130.3792 = \frac{50.5}{1 - (\cos (\frac{1}{2}) \cdot (40))}

130.3792m = \frac{50.5m}{1 - (\cos (\frac{1}{2}) \cdot (40°))}

130.3792 = \frac{50.5}{1 - (\cos (\frac{1}{2}) \cdot (40))}

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Radius of Curve using Midordinate Solution

Follow our step by step solution on how to calculate Radius of Curve using Midordinate?

FIRST Step Consider the formula

R c = \frac{M}{1 - (\cos (\frac{1}{2}) \cdot (I))}

Next Step Substitute values of Variables

∴

R c = \frac{50.5m}{1 - (\cos (\frac{1}{2}) \cdot (40°))}

Next Step Convert Units

∴

R c = \frac{50.5m}{1 - (\cos (\frac{1}{2}) \cdot (0.6981rad))}

Next Step Prepare to Evaluate

∴

R c = \frac{50.5}{1 - (\cos (\frac{1}{2}) \cdot (0.6981))}

Next Step Evaluate

∴

R c = 130.379175813715m

LAST Step Rounding Answer

∴

R c = 130.3792m

Radius of Curve using Midordinate Formula Elements

Variables

Functions

Radius of Circular Curve

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

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Curve

Midordinate

Midordinate can be described as the distance from midpoint of curve to midpoint of long chord.

Symbol: M

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Midordinate

Central Angle of Curve

Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

Symbol: I

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Central Angle of Curve

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Radius of Circular Curve

Go Radius of Curve using Degree of Curve

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go Radius of Curve

R c = \frac{5729.578}{D \cdot (\frac{180}{π})}

Go Radius of Curve Exact for Chord

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go Radius of Curve using Tangent Distance

R c = \frac{T}{\sin (\frac{1}{2}) \cdot (I)}

Other formulas in Circular Curves on Highways and Roads category

Go Exact Tangent Distance

T = R c \cdot \tan (\frac{1}{2}) \cdot I

Go Degree of Curve for given Radius of Curve

D = (\frac{5729.578}{R c}) \cdot (\frac{π}{180})

Go Central Angle of Curve for given Tangent Distance

I = (\frac{T}{\sin (\frac{1}{2}) \cdot R c})

Go External Distance

E = R c \cdot ((\sec (\frac{1}{2}) \cdot I \cdot (\frac{180}{π})) - 1)

How to Evaluate Radius of Curve using Midordinate?

Radius of Curve using Midordinate evaluator uses Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve))) to evaluate the Radius of Circular Curve, The Radius of curve using midordinate 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 evaluate Radius of Curve using Midordinate using this online evaluator? To use this online evaluator for Radius of Curve using Midordinate, enter Midordinate (M) & Central Angle of Curve (I) and hit the calculate button.

FAQs on Radius of Curve using Midordinate

What is the formula to find Radius of Curve using Midordinate?

The formula of Radius of Curve using Midordinate is expressed as Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve))). Here is an example- 157.4877 = 50.5/(1-(cos(1/2)*(0.698131700797601))).

How to calculate Radius of Curve using Midordinate?

With Midordinate (M) & Central Angle of Curve (I) we can find Radius of Curve using Midordinate using the formula - Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve))). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Radius of Circular Curve?

Here are the different ways to Calculate Radius of Circular Curve-

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))

Can the Radius of Curve using Midordinate be negative?

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

Which unit is used to measure Radius of Curve using Midordinate?

Radius of Curve using Midordinate 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 using Midordinate can be measured.

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