1. What is Radius of Circular Curve?

The Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration in geometric and engineering calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( R_c \) — Radius of Circular Curve (m)
• \( C \) — Length of long chord (m)
• \( I \) — Central angle of curve (rad)
• \( \sin \) — Sine trigonometric function

Explanation: This formula calculates the radius of a circular curve based on the length of the long chord and the central angle, using trigonometric relationships.

3. Importance of Radius Calculation

Details: Accurate radius calculation is crucial for road design, railway engineering, and various geometric constructions where circular curves are implemented.

4. Using the Calculator

Tips: Enter length of long chord in meters and central angle in radians. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a long chord in circular curves?
A: The long chord is the straight line distance between the point of curvature and the point of tangency of a circular curve.

Q2: Why is the central angle measured in radians?
A: Radians are the natural unit for angular measurement in mathematical calculations, especially when dealing with trigonometric functions.

Q3: Can this formula be used for any circular curve?
A: Yes, this formula applies to any circular curve where the long chord length and central angle are known.

Q4: What are typical applications of this calculation?
A: This calculation is commonly used in civil engineering for road design, survey engineering, and architectural planning involving circular arcs.

Q5: How accurate is this calculation method?
A: The calculation is mathematically precise when accurate input values are provided, making it reliable for engineering applications.