Geometry Formulas List

The following is a collection of different formulae related to geometry that you can use according to the shape of the geometric object.

The perimeter of a Square = 4(Side)
Perimeter of a Rectangle = 2(Length + Breadth)
Area of a Square = Side²
Area of a Rectangle = Length × Breadth
Area of a Triangle = ½ × base × height
Area of a Trapezoid = ½ × (base₁ + base₂) × height

Basic geometry formulas where the mathematical constant π is used are,

Area of a Circle = A = π×r²
Circumference of a Circle = 2πr
The curved surface area of a Cylinder = 2πrh
Total surface area of a Cylinder = 2πr(r + h)
Volume of a Cylinder = V = πr²h
The curved surface area of a cone = πrl
Total surface area of a cone = πr(r+l) = πr[r+√(h²+r²)]
Volume of a Cone = V = ⅓×πr2h
Surface Area of a Sphere = S = 4πr²
Volume of a Sphere = V = 4/3×πr³

where,

r = Radius;
h = Height. and,
l = Slant height

Algebra is divided into two sections: Elementary and Modern algebra (Abstract algebra). There are formulas for algebra identities and expressions in the class 9 textbook.

In CBSE class 9, the chapter on algebraic identities is introduced. This is a challenging chapter where you must memorize and use all formulas appropriately.

List of Algebra Formulas Class 9

This list of algebra formulae for class 9 can be used to solve various algebraic equations.

a² – b² = (a – b)(a + b)

(a + b)² = a² + 2ab + b²

a² + b² = (a + b)² – 2ab.

(a – b)² = a² – 2ab + b²

(a + b)³ = a³ + b³ + 3ab(a + b)

(a – b)³ = a³ – b³ – 3ab(a – b)

a³ – b³ = (a – b)(a² + ab + b²)

a³ + b³ = (a + b)(a² – ab + b²)

x(a + b) = xa + xb 

x(a – b) = xa – xb

(x – a)(x – b) = x² – (a + b)x + ab

(x – a)(x + b) = x² + (b – a)x – ab

(x + a)(x – b)= x² + (a – b)x – ab

(x + a)(x + b)= x² + (a + b)x + ab

(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx

(x – y – z)² = x² + y² + z² – 2xy + 2yz – 2zx

Algebra Formulas for Class 8

Perfect Square Formula

Modern algebra or abstract algebra refers to the more abstract portions of algebra whereas elementary algebra refers to the more basic portions.

Since it covers everything from basic equation solving to the study of abstractions like rings, groups, and fields, algebra is immensely significant.

List of Class 8 algebra formulas

For class 8, the CBSE introduces algebraic expressions and identities. This is a slightly challenging chapter where you must memorize all the formulas and use them appropriately.

We think that this page provides class 8 algebraic identities and formulas. These formulas will facilitate speedy learning and enable quick glances when necessary.

(a+b)²= a²+ 2ab +b² 

(a-b)²= a²– 2ab +b²

(a+b)(a-b)= a²-b²

(x+a)(x+b)= x²+ (a+b)x+ab

(x+a)(x-b)= x²+ (a-b)x-ab

(x-a)(x+b)= x²+ (b-a)x-ab

(x-a)(x-b)= x²– (a+b)x+ab

(a+b)³= a³+ 3ab(a+b) +b³

(a-b)³= a³– 3ab(a-b) -b³

Algebra Formulas for Class 9

Perfect Square Formula

What is the formula for the perfect square?

When we need to calculate the square of any binomial, we use the perfect square formula. It factors terms or calculates the square of the sum or difference of two terms. The perfect square equation is:

 (a ± b)² = (a² ± 2ab + b²)