1. What is Radius of Circle of Circular Arc Quadrangle?

The Radius of Circle of Circular Arc Quadrangle is a radial line from the center to any point on the circumference of a circle from which the Circular Arc Quadrangle is formed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The radius of the circle is exactly half the length of the long diagonal of the circular arc quadrangle.

3. Importance of Radius Calculation

Details: Calculating the radius is essential for understanding the geometric properties of circular arc quadrangles and for various engineering and architectural applications involving curved structures.

4. Using the Calculator

Tips: Enter the long diagonal value in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Circular Arc Quadrangle?
A: A circular arc quadrangle is a geometric shape formed by four circular arcs, typically creating a curved quadrilateral shape.

Q2: Why is the radius half of the long diagonal?
A: This relationship holds true due to the geometric properties of circles and the specific construction of circular arc quadrangles where the long diagonal passes through the center of the circle.

Q3: Can this formula be used for any circular arc quadrangle?
A: This formula applies specifically to circular arc quadrangles where the long diagonal is twice the radius of the originating circle.

Q4: What are the practical applications of this calculation?
A: This calculation is useful in architecture, engineering design, and geometric modeling where curved structures and circular patterns are involved.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the defined geometric relationship between the radius and the long diagonal.