What are Basic Geometry Formulas?

Geometrical formulas are the standard derived formulas for the calculation of parameters of shapes. These parameters are area, volume, perimeter, circumference, total surface area, lateral surface area, etc. Every shape studied under geometry has its own distinct formula. These formulas are listed below.

Square Formulas

Various square formulas are,

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

Where ‘a’ is the length of the sides of a square

Rectangle Formulas

Various rectangle formulas are,

• Perimeter of Rectangle = 2(l + b)
• Area of Rectangle = l × b

Where ‘l’ is Length and ‘b’ is Breadth

Triangle Formulas

Various triangle formulas are,

• Perimeter of Triangle = Sum of All Sides
• Area of Triangle = 1/2 × b × h

Where,

• ‘b’ is the base of the triangle 
• ‘h’ is the height of the triangle

Trapezoid Formulas

• Area of Trapezoid (A) = 1/2 × (b₁ + b₂) × h

Where,

• b₁ and b₂ are the bases of the Trapezoid
• h is the height of the Trapezoid

Circle Formulas

• Area of Circle = π × r²
• Circumference of Circle(C) = 2πr

Where ‘r’ is the radius of a Circle

Cube Formulas

• Surface Area of Cube = 6a²
• Volume of Cube = a³

Where ‘a’ is the length of the sides of the Cube

Cylinder Formulas

• Curved Surface Area of Cylinder = 2πrh
• Total Surface Area of Cylinder = 2πr(r + h)
• Volume of Cylinder = V = πr²h

Where

• ‘r’ is the radius of base of Cylinder
• ‘h’ is the height of Cylinder

Cone Formulas

• Curved Surface Area of a Cone = πrl
• Total Surface Area of Cone = πr(r + l) = πr[r + √(h² + r²)]
• Volume of a Cone = V =1/2× πr²h

Where,

• ‘r’ is radius of the base of Cone 
• h is height of the Cone

Sphere Formulas

• Surface Area of a Sphere = 4πr²
• Volume of a Sphere = 4/3 × πr³

Where r is the radius of the Sphere

In mathematics, geometry stands as a discipline of study and subject for the analysis of shapes and structures along with their properties. The article below illustrates the standard and derived formulas of geometry for the calculation of various parameters of a particular shape. These formulas are used to determine the unknown volume, area, perimeter, length of sides and diagonals, etc.