Torus Calculator
What is the volume and surface area of a doughnut-shaped ring? Enter the values below to calculate the result.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Major radius (length) | Enter the radius, which is half the diameter. |
| Tube radius (length) | Enter the radius, which is half the diameter. |
Understanding your result
Read volume (length^3), surface (length^2) in the units and model stated on this page. The formula volume=2*pi*pi*R*r*r · surface=4*pi*pi*R*r defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Entering the diameter where the radius is requested.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
What is the volume and surface area of a doughnut-shaped ring?
What is the volume and surface area of a doughnut-shaped ring? Enter the values below to calculate the result.
Common uses
- What is the volume and surface area of a doughnut-shaped ring
How it works
volume=2*pi*pi*R*r*r; surface=4*pi*pi*R*r
Worked example
Enter Major radius: 3 length; Tube radius: 1 length. Results: volume: 59.21762640653615 length^3; surface: 118.4352528130723 length^2.