1. What is the Length of Long Chord?

The Length of Long Chord in a circular curve can be described as the distance from the point of curvature to the point of tangency. It represents the straight line connecting these two points on the curve.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C \) — Length of long chord (m)
• \( R_c \) — Radius of circular curve (m)
• \( I \) — Central angle of curve (radians)

Explanation: The formula calculates the chord length based on the radius of the circular curve and the central angle subtended by the chord.

3. Importance of Long Chord Calculation

Details: Calculating the length of long chord is crucial in civil engineering and surveying for designing and laying out circular curves in roads, railways, and other infrastructure projects.

4. Using the Calculator

Tips: Enter the radius of the circular curve in meters and the central angle in radians. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between chord length and arc length?
A: Chord length is the straight line distance between two points on a curve, while arc length is the distance along the curve between those two points.

Q2: Can this formula be used for any circular curve?
A: Yes, this formula applies to any circular curve where the chord connects two points on the circumference.

Q3: What units should be used for the inputs?
A: The radius should be in meters and the central angle should be in radians. If you have degrees, convert them to radians first.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect circular curves and provides high precision when accurate input values are used.

Q5: What are typical applications of this calculation?
A: This calculation is commonly used in road design, railway engineering, architecture, and any field that involves circular curve geometry.