Radius Of Central Curve Given Length Of Central Curve Calculator

Formula Used:

\[ R = \frac{180 \times L}{\pi \times D} \]

Radius of Central Curve (R):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Radius of Central Curve?

The Radius of Central Curve is the distance between the center of a circle or any other point on the circumference of the circle and the surface of the sphere. It is a fundamental parameter in curve geometry and road design calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R = \frac{180 \times L}{\pi \times D} \]

Where:

\( R \) — Radius of Central Curve (m)
\( L \) — Length of Central Curve (m)
\( D \) — Deflection Angle of Central Curve (°)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula calculates the radius of a circular curve based on the length of the curve and the deflection angle, using the mathematical relationship between arc length, radius, and central angle.

3. Importance of Radius Calculation

Details: Accurate radius calculation is crucial for road design, railway engineering, and any application involving circular curves. It helps determine the curvature of paths, ensuring safe and efficient transportation routes.

4. Using the Calculator

Tips: Enter the length of the central curve in meters and the deflection angle in degrees. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the deflection angle in curve geometry?
A: The deflection angle is the angle between the onward extension of the previous leg and the line ahead in a curved path.

Q2: Can this formula be used for any circular curve?
A: Yes, this formula applies to any circular curve where the length and deflection angle are known.

Q3: What units should be used for input values?
A: Length should be in meters and deflection angle in degrees for this calculator.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise when accurate input values are provided.

Q5: What are typical values for road curve radii?
A: Road curve radii typically range from 30 meters for sharp curves to several hundred meters for gentle curves, depending on design speed and road type.