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
Area and Perimeter of a Circle
Area of a Circle = πr2
Perimeter of a Circle = 2πr
Area and Perimeter of a Right Triangle
Perimeter of a Right Triangle = a + b + c
Area and Perimeter of an Equilateral Triangle
Perimeter of an Equilateral Triangle = 3a
Area and Perimeter of a Square
Area of a Square = a2
Perimeter of a Square = 4a
Area and Perimeter of a Square
Area of a Rectangle = ab
Perimeter of a Rectangle = 2a+2b
Area and Perimeter of a Parallelogram
Area of a Parallelogram = bh
Perimeter of a Parallelogram = 2a+2b
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 of a Pentagon = 1/2 5ar
Perimeter of a Pentagon = 5a
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 of a Sphere = 4πr2
Volume of a Sphere = 4/3 πr3
Area and Volume of a Cylinder
Area of a Cylinder = 2πr2+ 2πrh
Volume of a Cylinder = πr2h
Area and Volume of a Cube
Area of a Cube = 6a2
Volume of a Cube = a3
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 of a Pentagonal Prism= 5rb + 5bh
Volume of a Pentagonal Prism = 5/2 rbh
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 of a Cone = πrs + πr2
Volume of a Cone = 1/3 πr2h
Area of a Frustrum
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 of a Tetrahedron = √3a2 + 2as
Volume of a Tetrahedron = a3/6√ 2
All the formulas are compiled in a poster. You can download the poster here.
