Mathematics Formulae and Concepts

Flashcards covering key mathematics formulae and concepts based on the lecture notes.

Speed formula

speed = distance / time

Density formula

density = mass / volume

Pressure formula

pressure = force / area

Circumference of a circle using diameter

Circumference = π x diameter, C = πd

Circumference of a circle using radius

Circumference = 2 x π x radius, C = 2πr

Area of a circle

Area = π x radius squared, A = πr²

Pythagoras' Theorem

In a right-angled triangle, a² + b² = c², where c is the hypotenuse.

Volume of a pyramid

Volume = (1/3) x area of base x height

Quadratic Equation

The solutions of ax² + bx + c = 0 are given by x = (-b ± √(b² - 4ac))/(2a).

Sine Ratio

sin(A) = opposite / hypotenuse

Cosine Ratio

cos(A) = adjacent / hypotenuse

Tangent Ratio

tan(A) = opposite / adjacent

Area of a rectangle

Area = length x width

Area of a parallelogram

Area = base x height

Area of a triangle

Area = (base x height) / 2

Area of a trapezium

Area = (a + b) x height / 2

Volume of a cuboid

Volume = width x height x depth

Sine Rule

(a/sin A) = (b/sin B) = (c/sin C) for triangle sides and opposite angles.

Cosine Rule

c² = a² + b² - 2ab cos(C), relating sides and angles in a triangle.

Volume of a cylinder

Volume = π x radius² x height.