How does the Torus Calculator work?

Major radius R (center to tube center), minor radius r (tube radius) Then: Surface area = 4π² × R × r Then: Volume = 2π² × R × r² Then: Constraint: R > r (otherwise self-intersecting).

Can you give an example of how to use the Torus Calculator?

Example: Input R=5cm, r=2cm gives a result of Volume 197cm3.

Is the Torus Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Torus Calculator?

Our Torus Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Torus Calculator

Torus

Major radius (R)

Minor radius (r)

Calculates torus (doughnut) surface area and volume from major and minor radii.

Symbol	Name	Unit	Description
R	R value	—	Variable used in the calculation

Difficulty:advanced

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Did You Know?

Torus has genus 1 (one hole); used in topology and abstract mathematics.

References

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Torus Calculator

Torus

What is Torus Calculator?

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How to Torus Calculator

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