Basic mathematics formula:
Area of a rectangle: A = length × width
Perimeter of a rectangle: P = 2 × (length + width)
Area of a square: A = side length × side length
Perimeter of a square: P = 4 × side length
Area of a circle: A = π × radius × radius (π is approximately 3.14159)
Circumference of a circle: C = 2 × π × radius
Pythagorean Theorem: In a right-angled triangle, a² + b² = c² (where c is the hypotenuse and a, b are the other two sides)
Volume of a cube: V = side length × side length × side length
Volume of a cylinder: V = π × radius × radius × height
Slope of a straight line: m = (change in y) / (change in x)
basic algebra formulas:
- Slope-intercept form of a linear equation: y = mx + b where m is the slope and b is the y-intercept.
- Quadratic formula: x = (-b ± √(b^2 – 4ac)) / 2a where a, b, and c are coefficients of the quadratic equation ax^2 + bx + c = 0.
- Distance formula: d = √((x2 – x1)^2 + (y2 – y1)^2) where (x1, y1) and (x2, y2) are the coordinates of two points in a 2D plane.
- Pythagorean theorem: a^2 + b^2 = c^2 where a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse.
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All mathamatics formula ..
Mathamatical formula can help you to solve problems
- Arithmetic:
- Addition: a + b = c
- Subtraction: a – b = c
- Multiplication: a * b = c
- Division: a / b = c
- Algebra:
- Quadratic formula: x = (-b ± √(b^2 – 4ac)) / 2a
- Exponentiation: a^n = a * a * … * a (n times)
- Geometry:
- Area of a rectangle: Area = length * width
- Area of a triangle: Area = 0.5 * base * height
- Area of a circle: Area = π * radius^2
- Perimeter of a rectangle: Perimeter = 2 * (length + width)
- Circumference of a circle: Circumference = 2 * π * radius
- Trigonometry:
- Sine function: sin(θ) = opposite / hypotenuse
- Cosine function: cos(θ) = adjacent / hypotenuse
- Tangent function: tan(θ) = opposite / adjacent
- Calculus:
- Derivative: d(f(x)) / dx = lim(h->0) [f(x + h) – f(x)] / h
- Integral: ∫ f(x) dx = F(x) + C (where F(x) is the antiderivative of f(x) and C is the constant of integration)
- Probability and Statistics:
- Probability of an event: P(A) = number of favorable outcomes / total number of outcomes
- Mean: Mean = (sum of all values) / (number of values)
- Standard Deviation: σ = √[ Σ(xi – μ)^2 / N ], where xi is each value, μ is the mean, and N is the number of values.
- Number Theory:
- Prime numbers: Numbers that have only two divisors, 1 and themselves.