List of formulas in elementary geometry
This is a short list of some common mathematical shapes and figures and the formulas that describe them.
Two-dimensional shapes
| Shape | Area | Perimeter/Circumference | Meanings of symbols |
| Square | is the length of a side | ||
| Rectangle | is length, is breadth | ||
| Circle | or | where is the radius and is the diameter | |
| Ellipse | where is the semimajor axis and is the semiminor axis | ||
| Triangle | is base; is height; are sides | ||
| Parallelogram | is base, is height, is side | ||
| Trapezoid | and are the bases |
Three-dimensional shapes
This is a list of volume formulas of basic shapes:- Cone –, where is the base's radius and is the cone's height;
- Cube –, where is the side's length;
- Cuboid –, where,, and are the sides' length;
- Cylinder –, where is the base's radius and is the cylinder's height;
- Ellipsoid –, where,, and are the semi-major and semi-minor axes' length;
- Sphere –, where is the radius;
- Parallelepiped –, where,, and are the sides' length,, and,, and are angles between the two sides;
- Prism –, where is the base's area and is the prism's height;
- Pyramid –, where is the base's area and is the pyramid's height;
- Tetrahedron –, where is the side's length.
Sphere
The basic quantities describing a sphere will be denoted by the following variables- is the radius,
- is the circumference,
- is the surface area,
- is the volume.
Volume:
Radius:
Circumference: