The most important thing in mathematics is the formula. If you remember all the important formulas of maths then maths becomes very easy for you.
So far we have read about different types of formulas in mathematics, similarly, questions are asked on the formulas used in small classes in different types of competitive exams like SSC, UPSC, SSC CGL, JEE Mains, etc.
In our blog, we will give information about the formula of mathematics and will know which are the important formulas from the point of view of various competitive examinations, so let’s start with the formulas of mathematics-Table of contents
What are math formulas called?
Maths Formulas: How many types of maths formulas are there?
- Algebra Formulas:
- All Formula of Mensuration
- Types of Triangles and their Areas:
- Scalene triangle
- Scalene triangle formula
- Right-angled triangle
- Right-angled triangle formula
- Equilateral triangle
- Equilateral triangle formula
- Trapezoid Formula
- Formula of an equilateral quadrilateral
- Cyclic quadrilateral formula
- Polygon Formula
- Circle Formula
- Cube formula
- Cuboid Formula
- Cylinder formula
- Cone formula
- Circle Formula
- Percentage Formula:
- Numerology formulas
- All Formula Based Arithmetic
- Compound interest formula
- Trigonometry Formulas
- The formula of two trigonometric angles
- The formula for three trigonometric angles
- The sum of sin θ and cos त्रि is trigonometric formula
- Trigonometric Table | Trikonmiti Table
What are math formulas called?
Maths formulas are very important to solve maths questions, so in today’s blog, we have covered all maths formulas.
As you all are well aware that a special method is required to solve the smallest problem in mathematics. can be done
“In mathematics, an equation formed using symbols and the rules of construction of a logic language is called a formula.”
In science, the representation of any information or mathematical relationship between different quantities in a small form is called a formula.
A chemical formula is also a way of symbolically summing up an element or compound.
For example, the following is the formula for the area of a circle – r2
Maths Formulas: How many types of maths formulas are there?
There are different types of maths formulas, from small classes to big classes, we have different types of maths formulas. In today’s blog, we have provided you with important formulas related to all classes which are as follows-
Algebra Formulas:
- (a+b)² = a²+2ab+b²
- (a-b)² = a²-2ab+b²
- (a-b)² = (a+b)²-4ab
- (a+b)² + (a-b)² = 2(a²+b²)
- a³ + b³ = (a + b) (a²-ab + b²)
- a³-b³ = (ab) (a² + ab + b²)
- a³-b³ = (a-b)³ + 3ab(a-b)
- (a²+1/a²) = (a-1/a)²+2
- (a³+1/a³) = (a+1/a)³-3(a+1/a)
All Formula of Mensuration
- Area of triangle – s(a)(sb)(sc)
- Types of Triangles and their Areas:
- Isosceles Triangle: A triangle whose two sides are equal is called Isosceles Triangle.
- isosceles triangle formula
- Area of an isosceles triangle, A = a / 4 b √ (4b² – a²)
- Vertex of an isosceles triangle = a / 4b √ (4b² – a²)
- Perimeter, P = 2a + b
- scalene triangle
Scalene triangle A triangle whose three sides are of equal length.
- scalene triangle formula
- Area of a polyhedron, A =√ [ s(s – a)(s – b)(s – c) ]
- In other words, A = × base × height
- Semiperimeter P = ( a + b + c )
- right-angled triangle
- Area of a right triangle, A = × base × height
- Perimeter of right-angled isosceles triangle = (2 + 2) × side
- Hypotenuse of right-angled isosceles triangle = (√2) × side
- Area of right-angled isosceles triangle = × side2
- equilateral triangle
An equilateral triangle is a triangle whose all sides are equal.
- Area of Equilateral Triangle = (√3) / 4 × Side 2
- altitude of an equilateral triangle = (√3)/4 × side
- Perimeter = 3 × Side
Rectangle: A rectangle is a quadrilateral whose opposite sides are equal and diagonals are also equal with each right angle (90º).
- Area of Rectangle – Length × Breadth
- Perimeter of rectangle – 2 × (length + breadth)
- Square: A quadrilateral is called a square, whose sides are equal and each angle is at right angles (90°).
- Area of the square – side × side (a2)
- The perimeter of the square – 4 × sides (4a)
- Diagonal of Square – Side × 2
- side – area
- Area of Square – × Product of Diagonals
Trapezoid: A quadrilateral in which only one pair of opposite sides is parallel is called a trapezoid.
- Trapezoid Formula
- Area of trapezium = (sum of parallel sides x height)
- = (base x corresponding height)
- Perimeter, P = a + b + c + d
Rhombus: A rhombus is a plane figure whose all four sides are equal.
- Formula of an equilateral quadrilateral
- ∠A + ∠B + ∠C + ∠D = 360°
- Area of Rhombus = × Product of both the diagonals
- In rhombus => (AC)² + (BD)² = 4a²
- cyclic quadrilateral formula
- ∠A + ∠C = 180°
- ∠B + ∠D = 180°
- Area = [s(sa) (sb) (s – c) (s – c)]
- Perimeter, S = ( a + b + c + d )
Polygon Formula
- Sum of interior angles of a quadrilateral of side n = 2(n –2) × 90°
- Each end angle of an equilateral polygon = (n – 2) / 2 × 180
- Each interior angle of a rhombus of side n = [2(n – 2) × 90°] / n
- The perimeter of the polygon = n × one side
- Area of regular hexagon = 6 × 3 (side)²
- Each exterior angle of a rhombus of side n = 360°/n
- Area of regular hexagon = 3√3×½ (side)²
- side of a regular hexagon = radius of the circumcircle
- Number of diagonals of a regular polygon of n sides = n(n – 3)/2
- circle formula
- Area of the circle = πr²
- diameter of circle = 2r
- Circumference of circle = 2πr
- circumference of circle = d
- The radius of the circle = area of √vrat /
- Area of semicircle = 1/2πr²
- Radius and Segment Formula
- Area of a radius = θ / 360 ° × πr²
- Length of arc = /360° × 2πr
- Perimeter of a radius = 2r + πrθ / 180
- Area of the arc = (πθ / 360 ° – 1/2 sinθ) r²
- Perimeter of a segment = (L + πrθ) / 180 °, where L = length of chord
- cube formula
- Volume of cube = side × side × side = a3
- Perimeter of a cube = 4 a²
- One edge of the sidebar = √ (area of the sidebar / 4)
- One side of the cube = 3√Volume
- One side of the cube = (Area of the whole surface / 6 )
- Area of the entire surface of the cube = 6a²
- Diagonal of cube = 3 × side
- Cuboid Formula
- Volume of cuboid = l × b × h
- Perimeter of cuboid = 2(l + b) × h
- Total surface area of cuboid = 2(lb + bh + hl)
- Diagonal of cuboid = (l² + b² + h²)
- Height = Volume / (Length × Breadth) of the cuboid
- Cuboid Width = Volume / (Length × Height)
- Area of the four walls of the room = 2h ( l + b )
- Area of lidless tank = 2h (l + b) + lb
- Area of roof or floor = length × breadth
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