1. What is Radius of Torus?

The radius of a torus is the distance from the center of the overall torus to the center of its circular cross-section. It is a fundamental geometric property that helps define the size and shape of the torus.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of Torus (m)
• \( V \) — Volume of Torus (m³)
• \( r_{circular} \) — Radius of Circular Section of Torus (m)
• \( \pi \) — Archimedes' constant (≈ 3.14159)

Explanation: This formula calculates the major radius of a torus given its volume and the radius of its circular cross-section.

3. Importance of Radius Calculation

Details: Calculating the radius of a torus is essential in various engineering and mathematical applications, including structural design, fluid dynamics, and geometric modeling.

4. Using the Calculator

Tips: Enter the volume of the torus in cubic meters and the radius of the circular section in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a torus?
A: A torus is a three-dimensional shape resembling a doughnut or inner tube, formed by revolving a circle in three-dimensional space about an axis.

Q2: What are the different radii of a torus?
A: A torus has two radii: the major radius (distance from center to tube center) and the minor radius (radius of the circular cross-section).

Q3: What units should I use for the inputs?
A: The calculator uses meters for length measurements and cubic meters for volume. Ensure consistent units for accurate results.

Q4: Can this formula be used for any torus?
A: Yes, this formula applies to all circular tori where the cross-section is perfectly circular.

Q5: What if I get a negative result?
A: The radius should always be positive. If you get a negative result, check that your input values are positive numbers.