# Torus

Written by Jerry Ratzlaff on . Posted in Solid Geometry

• Torus (a three-dimensional figure) has a shape like a donut.

## formulas that use Hole Radius of a torus

 $$\large{ R_h = R - r }$$

### Where:

$$\large{ R_h }$$ = radius of the hole

$$\large{ r }$$ = radius of sphere

$$\large{ R }$$ = radius of center of sphere

## formulas that use Surface Area of a torus

 $$\large{ S = 4 \; \pi^2 \; R\; r }$$

### Where:

$$\large{ S }$$ = surface area

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius of sphere

$$\large{ R }$$ = radius of center of sphere

## formulas that use Volume of a torus

 $$\large{ V = 2 \; \pi^2 \; R\; r^2 }$$

### Where:

$$\large{ V }$$ = volume

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius of sphere

$$\large{ R }$$ = radius of center of sphere