1. What is Long Diagonal of Circular Arc Quadrangle?

The Long Diagonal of Circular Arc Quadrangle is a straight line joining two opposite corners of the object formed by circular arcs. It represents the longest distance between any two vertices of the quadrangular shape.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( d_{Long} \) — Long Diagonal of Circular Arc Quadrangle (m)
• \( r_{Circle} \) — Radius of Circle of Circular Arc Quadrangle (m)

Explanation: The long diagonal is exactly twice the radius of the circle from which the circular arc quadrangle is formed, as it passes through the center of the circle.

3. Formula Explanation

Details: This formula demonstrates the fundamental geometric relationship between the radius of a circle and the long diagonal of a circular arc quadrangle derived from it. The factor of 2 comes from the diameter being twice the radius.

4. Using the Calculator

Tips: Enter the radius of the circle in meters. The value must be positive and greater than zero. The calculator will automatically compute the long diagonal of the circular arc quadrangle.

5. Frequently Asked Questions (FAQ)

Q1: What is a Circular Arc Quadrangle?
A: A circular arc quadrangle is a four-sided shape where each side is a circular arc segment from the same circle.

Q2: Why is the long diagonal exactly twice the radius?
A: Because the long diagonal passes through the center of the circle, making it equal to the diameter, which is always twice the radius.

Q3: Does this formula work for all circular arc quadrangles?
A: Yes, this formula applies to any circular arc quadrangle formed from a circle, regardless of the arc lengths or angles.

Q4: What are the units for the inputs and outputs?
A: Both the radius input and long diagonal output are in meters, though any consistent length unit can be used.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places for precise calculations.