# 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

## Area and Perimeter of a Circle

**Area of a Circle **= πr^{2}**Perimeter of a Circle **= 2πr

## Area and Perimeter of a Right Triangle

**Area of a Right Triangle** =^{1}⁄_{2} ab **Perimeter of a Right Triangle** = a + b + c

## Area and Perimeter of a 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 of an Equilateral Triangle** =√^{3}/_{4}a^{2} **Perimeter of an Equilateral Triangle** = 3a

## Area and Perimeter of a Square

**Area of a Square ** = a^{2}**Perimeter of a Square** = 4a

## Area and Perimeter of a Rectangle

**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 **= 4πr^{2}**Volume of a Sphere **= ^{4}/_{3} πr^{3}

## Area and Volume of a Cylinder

**Area of a Cylinder **= 2πr^{2}+ 2πrh **Volume of a Cylinder **= πr^{2}h

## Area and Volume of a Cube

**Area of a Cube **= 6a^{2}**Volume of a Cube **= a^{3}

## 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 + πr^{2} **Volume of a Cone **= ^{1}/_{3} πr^{2}h

## Area of a Frustrum

**Area of a Frustrum **= πs(r +q) +π(r^{2} +q^{2})

## Area and Volume of a Square Pyramid

**Area of a Square Pyramid **= a^{2} + 2as **Volume of a Square Pyramid = ** ^{1 }/_{3} a2h

## Area and Volume of a Tetrahedron

**Area of a Tetrahedron **= √3a^{2} + 2as **Volume of a Tetrahedron **=** ** ^{a}^{3}/_{6√ 2}

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