Calculator and formulas for calculating a torus
A torus is a solid in geometry. It is a round, bulging surface with a hole, so it has the shape of a lifebelt or donut.
The radius R is the distance from the center of the tube to the center of the torus, r is the radius of the tube. D is the outside diameter of the ring and d is the diameter of the hole.
To calculate the torus, enter the radii or diameters. Then click on the 'Calculate' button
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| Volume | \(\displaystyle V= 2 \cdot π^2 \cdot R \cdot r^2\) |
| Surface | \(\displaystyle S=4 \cdot π^2 \cdot R \cdot r \) |
| Small diameter | \(\displaystyle d = 2 \cdot (R - r)\) |
| Large diameter | \(\displaystyle D = 2 \cdot (R + r)\) |
| Small radius | \(\displaystyle r = \frac{D - d}{4}\) |
| Large radius | \(\displaystyle R = \frac{D}{2} - r\) |
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