**Maths Formulas **are created by expert teachers from latest edition books. Basic Maths formulas enables students to complete the syllabus in a unique do-learn-do pattern of study. These mathematical formulas help students:

- Improve Scores in Board Exams and Entrance Examinations.
- Makes Complete Preparation easy on time.
- Helps you in making revision
- Mind Maps and Tables Help You to Memories easily.
- Know their strengths and weaknesses in Mathematics formula
- Math Formulas are indispensable for students preparing for competitive Exams and Board Exams.
- Math formulas empower students for hands-on practice and help them to score high on both in-class exams and on boards.

## Maths Formulas | Class 6 to Class 12

**Maths formulas for Class 12****Maths formulas for Class 11****Maths formulas for Class 10****Maths formulas for Class 9****Maths formulas for Class 8****Maths formulas for Class 7****Maths formulas for Class 6****BODMAS Rule**

### Important Maths Formulas | Area Formulas

- Area of a Circle Formula = π r
^{2}

where

r – radius of a circle - Area of a Triangle Formula A=12bh

where

b – base of a triangle.

h – height of a triangle. - Area of Equilateral Triangle Formula = 3√4s2

where

s is the length of any side of the triangle. - Area of Isosceles Triangle Formula = 12bh

where:

a be the measure of the equal sides of an isosceles triangle.

b be the base of the isosceles triangle.

h be the altitude of the isosceles triangle. - Area of a Square Formula =
*a*^{2} - Area of a Rectangle Formula = L. B

where*L*is the length.

B is the Breadth. - Area of a Pentagon Formula = 52s.a

Where,

s is the side of the pentagon.

a is the apothem length. - Area of a Hexagon Formula = 33√2×2

where

where “**x**” denotes the sides of the hexagon.

Area of a Hexagon Formula = 32.d.t

Where “**t**” is the length of each side of the hexagon and “**d**” is the height of the hexagon when it is made to lie on one of the bases of it. - Area of an Octagon Formula = 2a2(1+2–√)

Consider a regular octagon with each side “*a”*units. - Area of Regular Polygon Formula:

By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:

where*s*is the length of any side*n*is the number of sides*tan*is the tangent function calculated in**degrees** - Area of a Parallelogram Formula = b . a

where*b*is the length of any base*a*is the corresponding altitudeArea of Parallelogram: The number of square units it takes to completely fill a parallelogram.

Formula: Base × Altitude - Area of a Rhombus Formula = b . a

where*b*is the length of the base*a*is the altitude (height). - Area of a Trapezoid Formula = The number of square units it takes to completely fill a trapezoid.

Formula: Average width × Altitude

The area of a trapezoid is given by the formula

where

b1, b2 are the lengths of each base

h is the altitude (height) - Area of a Sector Formula (or) Area of a Sector of a Circle Formula = πr2(C360)

where:

C is the central angle in degrees

r is the radius of the circle of which the sector is part.

π is Pi, approximately 3.142

Sector Area – The number of square units it takes to exactly fill a sector of a circle. - Area of a Segment of a Circle Formula

Area of a Segment in Radians A=1/2×r2(θ−sinθ)

Area of a Segment in Degrees A=12r2(π180θ−sinθ)Area of a Segment of a Circle Formula - Area under the Curve Formula:

The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.

- Area of a Circle Formula = π r

### Algebra Formulas | Maths Formulas

1. a2−b2=(a+b)(a−b)

2. (a+b)2=a2+2ab+b2

3. a2+b2=(a−b)2+2ab

4. (a−b)2=a2−2ab+b2

5. (a+b+c)2=a2+b2+c2+2ab+2ac+2bc

6. (a−b−c)2=a2+b2+c2−2ab−2ac+2bc

7. (a+b)3=a3+3a2b+3ab2+b3;(a+b)3=a3+b3+3ab(a+b)

8. (a−b)3=a3−3a2b+3ab2−b3

9. a3−b3=(a−b)(a2+ab+b2)

10. a3+b3=(a+b)(a2−ab+b2)

11. (a+b)4=a4+4a3b+6a2b2+4ab3+b4

12. (a−b)4=a4−4a3b+6a2b2−4ab3+b4

13. a4−b4=(a−b)(a+b)(a2+b2)

14. a5−b5=(a−b)(a4+a3b+a2b2+ab3+b4)

15. (x+y+z)2=x2+y2+z2+2xy+2yz+2xz

16. (x+y−z)2=x2+y2+z2+2xy−2yz−2xz

17. (x−y+z)2=x2+y2+z2−2xy−2yz+2xz

18. (x−y−z)2=x2+y2+z2−2xy+2yz−2xz

19. x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−yz−xz)

20. x2+y2=12[(x+y)2+(x−y)2]

21. (x+a)(x+b)(x+c)=x3+(a+b+c)x2+(ab+bc+ca)x+abc

22. x3+y3=(x+y)(x2−xy+y2)

23. x3−y3=(x−y)(x2+xy+y2)

24. x2+y2+z2−xy−yz−zx=12[(x−y)2+(y−z)2+(z−x)2]

25. if n is a natural number, an−bn=(a−b)(an−1+an−2b+…+bn−2a+bn−1)

26. if n is even n = 2k, an+bn=(a+b)(an−1−an−2b+…+bn−2a−bn−1)

27. if n is odd n = 2k+1, an+bn=(a+b)(an−1−an−2b+…−bn−2a+bn−1)

28. (a+b+c+…)2=a2+b2+c2+…+2(ab+bc+…)

29. (am)(an)(ab)m(am)n=am+n=ambm=amn

30. a0amanama−m=1=am−n=1a−m=1am

### Root Maths Formulas

**Square Root :**

If x^{2} = y then we say that square root of y is x and we write √y = x

So, √4 = 2, √9 = 3, √36 = 6

**Cube Root:**

The cube root of a given number x is the number whose cube is x.

we can say the cube root of x by ^{3}√x

- √xy = √x * √y
- √x/y = √x / √y = √x / √y x √y / √y = √xy / y.

### Fractions Maths Formulas

What is **fraction** ?

Fraction is name of part of a whole.

Let the fraction number is 1 / 8.

**Numerator**: Number of parts that you of the top number(1)

**Denominator**: It is the number of equal part the whole is divided into the bottom number (8).

We hope the Maths Formulas for Class 6 to Class 12, help you. If you have any query regarding Class 6 to Class 12 Maths Formulas, drop a comment below and we will get back to you at the earliest.

### FAQs on Maths Formulas

1. **What is the best way to memorize Math Formulas?**

The best way to remember math formulas to learn how to derive them. If you can derive them then there is no need to remember them.

2. **How to learn Mathematics Formulas?**

Don’t try to learn the formula try learning the logic behind the formula and intuition behind it.

3. **What is Math Formula?**

Generally, each kind of maths has a formula or multiple formulas that help you work out a particular thing, whether it’s geometry, statistics, measurements, etc.

4. **Is it necessary to know how does a math formula work?**

It is indeed necessary to understand and be able to solve equations, either if you want to work as a mathematician, or any other field using mathematics, or if you want to be a math teacher or a teacher in a field that uses math.