Mathematics Formulas
Percentage Calculation:
To calculate the percentage of a number, use the following formula:
Percentage = (Value / Total) * 100
where Value is the part of the whole, and Total is the complete amount.
Division Calculation:
The division of two numbers can be represented using the division symbol:
Quotient = Dividend ÷ Divisor
where Dividend is the number being divided, and Divisor is the number by which the dividend is divided.
Distance Calculation:
The distance can be calculated using the formula:
Distance = Speed × Time
where Speed is the rate of motion and Time is the duration of the motion.
Speed Calculation:
The speed can be calculated using the formula:
Speed = Distance / Time
where Distance is the traveled distance and Time is the duration of the travel.
Area of a Circle:
The area of a circle can be calculated using the formula:
Area = π * r²
where π is a mathematical constant (approximately equal to 3.14159) and r is the radius of the circle.
Volume of a Sphere:
The volume of a sphere can be calculated using the formula:
Volume = (4/3) * π * r³
where π is a mathematical constant (approximately equal to 3.14159) and r is the radius of the sphere.
Pythagorean Theorem:
The square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
a² + b² = c²
Quadratic Formula:
The solutions to a quadratic equation in the form ax² + bx + c = 0 can be found using the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
Sum of an Arithmetic Series:
The sum of an arithmetic series is given by the formula:
S = (n / 2)(2a + (n - 1)d)
where S is the sum, n is the number of terms, a is the first term, and d is the common difference.
