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 symbolsSquare is the length of a sideRectangle is length, is breadthCircle or where is the radius and is the diameterEllipsewhere is the semimajor axis and is the semiminor axisTriangle is base; is height; are sidesParallelogram is base, is height, is sideTrapezoid and are the bases
Sources:
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 (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
References