List of formulas in elementary geometry

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This is a short list of some common mathematical shapes and figures and the formulas that describe them.

Contents

Two-dimensional shapes

Shape Area Perimeter/CircumferenceMeanings 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
Sources: [1] [2] [3]

Three-dimensional shapes

Illustration of the shapes' equation terms
Wuerfel-1-tab.svg
Cube
Quader-1-tab.svg
Cuboid
Prisma-1-e.svg
Prism
Parallelepiped-1-tab.svg
Parallelepiped
Pyramide-46-e.svg
Pyramids
Tetraeder-1-tab.svg
Tetrahedron
Kegel-1-tab.svg
Cone
Zylinder-1-tab.svg
Cylinder
Kugel-1-tab.svg
Sphere
Ellipsoid-1-tab.svg
Ellipsoid

This is a list of volume formulas of basic shapes: [4] :405–406

Sphere

The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables

Surface area:

Volume:

Radius:

Circumference :

See also

References

  1. "Archived copy" (PDF). Archived from the original (PDF) on 2012-08-13. Retrieved 2011-11-29.{{cite web}}: CS1 maint: archived copy as title (link)
  2. "Area Formulas".
  3. "List of Basic Geometry Formulas". 27 May 2018.
  4. Treese, Steven A. (2018). History and Measurement of the Base and Derived Units. Cham, Switzerland: Springer Science+Business Media. ISBN   978-3-319-77577-7. LCCN   2018940415. OCLC   1036766223.