Geometry Formulas List: Area, Perimeter & Volume

This is the complete list of geometry formulas on the site, grouped into 2D shapes, 3D solids and theorems. Click any shape for its labelled diagram, every geometry formula for it, a worked example and a free calculator.

2D geometry

2D shape formulas: area & perimeter

Area and perimeter formulas for squares, rectangles, triangles, circles and every other common flat shape.

2D ShapesSquare FormulasA = a² 2D ShapesRectangle FormulasA = l × w 2D ShapesTriangle FormulasA = ½ b h 2D ShapesEquilateral Triangle FormulasA = (√3 ⁄ 4) a² 2D ShapesCircle FormulasA = πr² 2D ShapesEllipse FormulasA = πab 2D ShapesParallelogram FormulasA = b × h 2D ShapesTrapezoid FormulasA = ½ (a + b) h 2D ShapesRhombus FormulasA = ½ p q 2D ShapesSector of a Circle FormulasA = (θ ⁄ 360) πr² 2D ShapesRegular Polygon FormulasA = n s² ⁄ (4 tan(π⁄n))

3D geometry

3D shape formulas: volume & surface area

Volume and surface area formulas for cubes, cuboids, spheres, cylinders, cones and pyramids.

3D SolidsCube FormulasV = a³ 3D SolidsCuboid (Rectangular Prism) FormulasV = l × w × h 3D SolidsSphere FormulasV = (4⁄3) πr³ 3D SolidsHemisphere FormulasV = (2⁄3) πr³ 3D SolidsCylinder FormulasV = πr²h 3D SolidsCone FormulasV = (1⁄3) πr²h 3D SolidsSquare Pyramid FormulasV = (1⁄3) a²h

Theorems

Geometry theorems & coordinate formulas

The Pythagorean theorem, distance formula, midpoint formula and slope that many other geometry formulas are built on.

TheoremsPythagorean Theorem Formulasa² + b² = c² TheoremsDistance & Midpoint Formulasd = √(Δx² + Δy²)