List of formulas in elementary geometry

From Wikipedia, the free encyclopedia

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

Two-dimensional shapes[edit]

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
Sources:[1][2][3]

Three-dimensional shapes[edit]

Illustration of the shapes' equation terms
Cube
Cuboid
Prism
Parallelepiped
Pyramids
Tetrahedron
Cone
Cylinder
Sphere
Ellipsoid

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

  • Cone, where is the base's radius
  • Cube, where is the side's length;
  • Cuboid, where , , and are the sides' length;
  • Cylinder, where is the base's radius and is the cone'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[edit]

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[edit]

References[edit]

  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.