1. What is the Breadth of Torus?

The Breadth of Torus is defined as the horizontal distance from the leftmost point to the rightmost point of the Torus. It is a key geometric measurement for understanding the size and proportions of a toroidal shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of Torus (m)
• \( r \) — Radius of Torus (m)
• \( r_{Hole} \) — Hole Radius of Torus (m)

Explanation: The formula calculates the total width of the torus by considering both the overall radius and the hole radius, effectively doubling the sum of the radius and the difference between the radius and hole radius.

3. Importance of Breadth Calculation

Details: Accurate calculation of the breadth is crucial for applications in engineering, architecture, and design where toroidal shapes are used, such as in piping, rings, and certain structural elements.

4. Using the Calculator

Tips: Enter the Radius of Torus and the Hole Radius of Torus in meters. Ensure that the Hole Radius is less than the Radius of Torus and both values are positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a Torus?
A: A torus is a doughnut-shaped surface generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

Q2: Why is the Hole Radius important?
A: The Hole Radius determines the size of the central hole in the torus, affecting both the breadth and the overall geometry of the shape.

Q3: Can the Hole Radius be zero?
A: Technically, if the Hole Radius is zero, the torus degenerates into a sphere, but the formula may not be applicable in that edge case.

Q4: What units should I use?
A: The calculator uses meters, but any consistent unit of length can be used as long as both inputs are in the same unit.

Q5: Are there other ways to calculate the breadth?
A: This formula is specific to the given geometric relationship. Other methods might involve integration or trigonometric approaches for more complex shapes.