List of formulas in elementary geometry

(Redirected from Geometric formulas)

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

Two-dimensional shapes

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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

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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

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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

  •   is the radius,
  •   is the circumference (the length of any one of its great circles),
  •   is the surface area,
  •   is the volume.

Surface area:

 

Volume:

 

Radius:

 

Circumference:

 

See also

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References

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  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.