Radius of Curve using Midordinate Calculator

✖Midordinate can be described as the distance from midpoint of curve to midpoint of long chord.ⓘ Midordinate [M]			+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 [I]			+10% -10%

✖Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve using Midordinate [R_c]

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Radius of Curve using Midordinate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
R_c = M/(1-(cos(1/2)*(I)))
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

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.
Midordinate - (Measured in Meter) - Midordinate can be described as the distance from midpoint of curve to midpoint of long chord.
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.

STEP 1: Convert Input(s) to Base Unit

Midordinate: 50.5 Meter --> 50.5 Meter No Conversion Required
Central Angle of Curve: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_c = M/(1-(cos(1/2)*(I))) --> 50.5/(1-(cos(1/2)*(0.698131700797601)))

Evaluating ... ...

R_c = 130.379175813715

STEP 3: Convert Result to Output's Unit

130.379175813715 Meter --> No Conversion Required

FINAL ANSWER

130.379175813715 ≈ 130.3792 Meter <-- Radius of Circular Curve

(Calculation completed in 00.004 seconds)

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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))

Radius of Curve using Midordinate Formula

LaTeX Go

Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
R_c = M/(1-(cos(1/2)*(I)))

What is meant by midordinate?

Midordinate can be defined as distance from midpoint of curve to midpoint of long
chord in a circular curve.

How to Calculate Radius of Curve using Midordinate?

Radius of Curve using Midordinate calculator uses Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve))) to calculate 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 calculate Radius of Curve using Midordinate using this online calculator? To use this online calculator for Radius of Curve using Midordinate, enter Midordinate (M) & Central Angle of Curve (I) and hit the calculate button. Here is how the Radius of Curve using Midordinate calculation can be explained with given input values -> 157.4877 = 50.5/(1-(cos(1/2)*(0.698131700797601))).

FAQ

What is Radius of Curve using Midordinate?

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 and is represented as R_c = M/(1-(cos(1/2)*(I))) or Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve))). Midordinate can be described as the distance from midpoint of curve to midpoint of long chord & Central angle of curve can be described as the deflection angle between tangents at point of intersection of tangents.

How to calculate Radius of Curve using Midordinate?

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 is calculated using Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve))). To calculate Radius of Curve using Midordinate, you need Midordinate (M) & Central Angle of Curve (I). With our tool, you need to enter the respective value for Midordinate & Central Angle of 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 Radius of Circular Curve?

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

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))

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