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unit of measure: the base unit | the supplementary unit | the derived unit

geometry: the area of a flat figure | the area of a solid | the volume of the solid

The volume of a torus


A torus is a geometric solid which results from rotation of a circle around an axis places in the plane of the circle, but which does not pass through the center of the circle.

Computing relationship:


r — the radius of a rotated circle;

R — the radius of rotation, distance from the rotation axis to the circle’s center, on the rotation plane.

Calculator: the volume of a torus

For separation of number integers and decimals, use the symbol – point [.]

the radius of a rotated circle — r

the radius of rotation — R


the volume of a torus =



context information: contemporary and archaic unit of measurement of area