Calculators
Torus Calculator
Calculate torus volume and surface area from the major and tube radii locally in your browser.
Enter a major radius and a tube radius from 0 (exclusive) to 1000000000 to see the volume (2π²Rr²) and surface area (4π²Rr). The calculation runs locally in your browser; your values are not uploaded or stored.
Find torus measurements without uploading anything.
Enter a major radius and a tube radius from 0 (exclusive) to 1000000000 to see the volume and surface area. Everything runs locally in your browser, so your values are not uploaded or stored.
Frequently Asked Questions
Everything you need to know about this tool, how it works, and privacy.
What does the torus calculator show?
Enter a major radius and a tube radius from 0 (exclusive) to 1000000000. The calculator returns the volume (2 times pi squared times major radius times tube radius squared) and the surface area (4 times pi squared times major radius times tube radius). For example, major radius 10 and tube radius 3 give volume about 1776.5287922 and surface area about 1184.35252813.
Which formulas does the torus calculator use?
It uses volume = 2 x pi^2 x R x r^2 and surface area = 4 x pi^2 x R x r, where R is the major radius from the torus center to the tube center and r is the tube radius, with pi as the standard mathematical constant.
Which inputs are accepted?
Enter a major radius and a tube radius greater than zero through 1000000000. Decimal values are accepted. Zero, negative numbers, non-numeric text, and values above the limit show a clear error instead of a result.
Do my numbers stay private?
Yes. The calculation and copy action run locally in your browser. CodeASystem does not upload or store the values you enter.