Formulas Flashcards
(22 cards)
What is the formula for the area of a triangle?
Area = ½ x base x height
What is the formula for the area of a parallelogram?
Area = base x height
What is the formula for the area of a trapezium?
Area = ½ x (a + b) x height
What is the formula for the area of a circle?
Area = πr²
What is the formula for the circumference of a circle?
Circumference = 2πr
What is the formula for the volume of a prism?
Volume = area of cross-section x length
What is the formula for the volume of a cylinder?
Volume = πr²h
What is the formula for the volume of a cone?
Volume = (1/3)πr²h
What is the formula for the volume of a sphere?
Volume = (4/3)πr³
What is the formula for the surface area of a sphere?
Surface area = 4πr²
What is the formula for the volume of a pyramid?
Volume = (1/3) x area of base x height
What is the Pythagorean theorem?
a² + b² = c² (right-angled triangle)
What is the sine function in trigonometry?
sin(θ) = opposite / hypotenuse
What is the cosine function in trigonometry?
cos(θ) = adjacent / hypotenuse
What is the tangent function in trigonometry?
tan(θ) = opposite / adjacent
How do you calculate the mean from a frequency table?
Mean = Σfx / Σf
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / (2a)
What is the formula for completing the square?
x² + bx = (x + (b/2))² - (b²/4)
What is the formula for pressure?
Pressure = Force / Area
What is the formula for compound interest?
Final amount = Initial amount x (1 + rate)ⁿ
What is the formula for speed?
Speed = Distance / Time
What is the formula for density?
Density = Mass / Volume
