Ring Torus Geometry Calculator
Calculate circular ring-torus volume, surface area and ideal solid mass from major and tube radii.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Revolve a circular cross section about an external axis and retain the distinction between major/tube radius.
Volume=2π²Rr²; surface=4π²Rr
Worked example
Major radius2 and tube radius1 give volume4π² and surface area8π² in matching units.
Assumptions and input details
Ring torus only with major radius greater than tube radius, no spindle/self-intersecting torus. Solid homogeneous mass excludes hollow walls, fittings and material losses.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.
Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.
NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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