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Basic Geometry Formulas

Here is the list of geometry formulas for different geometric shapes such as flat 2D shapes and 3D shapes like spheres, cones, and prisms. 

Geometry deals with the different aspects of various shapes and figures. In everyday life, we apply geometry when determining the distance we have to walk from one place to another, putting together a piece of do-it-yourself furniture, or deciding whether the leftover food fits a container or not. If your student or child is new to geometry, all the shapes and formulae can be confusing. This geometry formula chart will help them see and understand instead of memorizing

Download a poster with all the basic geometry formulas


Geometry Formula Sheet

Area and Perimeter of a Circle

Area and Perimeter of a Circle

Area of a Circle = πr2
Perimeter of a Circle = 2πr

Area and Perimeter of a Right Triangle

Area and Perimeter of a Right Triangle

Area of a Right Triangle =12 ab
Perimeter of a Right Triangle = a + b + c

Area and Perimeter of a Scalene Triangle

SCALENE TRIANGLE

Area of a Scalene Triangle =1⁄2 bh
Perimeter of a Scalene Triangle = a + b + c

Area and Perimeter of an Equilateral Triangle

Area and Perimeter of an Equilateral Triangle

Area of an Equilateral Triangle =√3/4a2
Perimeter of an Equilateral Triangle = 3a

Area and Perimeter of a Square

Area and Perimeter of a Square

Area of a Square  = a2
Perimeter of a Square = 4a

Area and Perimeter of a Rectangle

rectangle

Area of a Rectangle = ab
Perimeter of a Rectangle = 2a+2b

Area and Perimeter of a Parallelogram

Area and Perimeter of a Parallelogram

Area of a Parallelogram = bh
Perimeter of a Parallelogram = 2a+2b

Area and Parameter of a Trapezoid

Area and Parameter of a Trapezoid

Area of a Trapezoid = 1/2 (b+d)h
Perimeter of a Trapezoid = a+b+c+d

Area and Parameter of a Pentagon

Area and Parameter of a Pentagon

Area of a Pentagon = 1/2 5ar
Perimeter of a Pentagon = 5a

Area and Parameter of a Hexagon

Area and Parameter of a Hexagon

Area of a Hexagon = 1/2 6ar
Perimeter of a Hexagon = 6a

Area and Volume of a Sphere

Area and Volume of a Sphere

Area of a Sphere = 4πr2
Volume of a Sphere = 4/3 πr3

Area and Volume of a Cylinder

Area and Volume of a Cylinder

Area of a Cylinder = 2πr2+ 2πrh
Volume of a Cylinder =  πr2h

Area and Volume of a Cube

Area and Volume of a Cube

Area of a Cube = 6a2
Volume of a Cube =  a3

Area and Volume of a Cuboid

Area and Volume of a Cuboid

Area of a Cuboid = 2ab + 2ac + 2bc
Volume of a Cuboid =  abc

Area and Volume of a Pentagonal Prism

Area and Volume of a Pentagonal Prism

Area of a Pentagonal Prism= 5rb + 5bh
Volume of a Pentagonal Prism = 5/2 rbh

Area and Volume of a Triangular Prism

Area and Volume of a Triangular Prism

Area of a Triangular Prism = ab + 2ch + 2bh
Volume of a Triangular Prism = 1/2 abh

Area and Volume of a Cone

Area and Volume of a Cone

Area of a Cone = πrs + πr2
Volume of a Cone = 1/3 πr2h

Area of a Frustrum

Area of a Frustrum
Area of a Frustrum = πs(r +q) +π(r2 +q2)

Area and Volume of a Square Pyramid

Area and Volume of a Square Pyramid

Area of a Square Pyramid = a2 + 2as
Volume of a Square Pyramid =  1 /3 a2h

Area and Volume of a Tetrahedron

Area and Volume of a Tetrahedron

Area of a Tetrahedron = √3a2 + 2as
Volume of a Tetrahedron =  a3/6√ 2

Formulas for Geometry

All the above formulas are compiled into a poster. You can download the poster here.