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math.geometry-torus Calculator
Calculates the volume (2π²Rr²) and surface area (4π²Rr) of a torus from the major and minor radii. Tori appear in doughnut shapes, circular gaskets, and toroidal transformers — Pappus's theorem gives these formulas directly.
Inputs
R
Distance from centre to edge of a circle. Radius = diameter / 2.
R
Distance from centre to edge of a circle. Radius = diameter / 2.
T
Reference formula or conversion factor shown for context.
N
Reference formula or conversion factor shown for context.
Results
volume
The computed three-dimensional volume.
surface area
The computed two-dimensional surface area.
outer circumference
Sample size or count used in the calculation.
inner circumference
Sample size or count used in the calculation.
V = 2π²Rr²
Reference formula or conversion factor shown for context.
S = 4π²Rr
Reference formula or conversion factor shown for context.